No one with an EE degree is truly unemployable.
It is frustrating and hard.
My children are Gen Z and fairly recent college graduates from very good schools with STEM majors, and each of their job searches has involved many hundreds of job applications for many months to produce a single job. My daughter worked at a couple of jobs totally unrelated to her major for shitty pay with no benefits, then got a job as a project manager for a language translation company (which also used only her "soft skills", i.e. being a literate, functional, well-organized college graduate who could communicate well, and not anything she'd learned in her major), and from there to two subsequent jobs as a project manager supervising computer programming projects. My son thought he was set working for a tech/finance startup right out of college, only to have to look for greener grass ASAP when the CFO embezzled many millions of dollars from the company killing any prospects of bonuses and putting the company's survival, and its ability to make payroll in the near future, in question.
Many people who were science and engineering majors in college end up in positions only roughly adjacent to their major.
One of my cousins, who was a chemical engineer, spent most of her career selling specialized chemistry equipment to actual practicing chemists, pharmacists, and chemical engineers. My daughter who was an environmental science major ended up being a project manager supervising computer programers. My sister-in-law, who was a physics major, got her first job at a tech support call center for a software company (she later became a vet tech because she liked the work better). My other sister-in-law earned a graduate degree, only to end up running a popular book store for many years for a friend, which was totally unrelated to what she had studied and only returned to the career her graduate degree was in twenty years later. My brother was a Russian major in college, but ended up programing computers instead. My father, who had a PhD in civil engineering, after a first job as a civil engineering professor, ended up leading an environmental science department for the rest of his career. My mother-in-law, who was an M.D. with a physical therapy medicine specialty, ended up spending much of the later part of her career on the side hustle of practicing acupuncture. One of my good friends from high school, with a solid STEM background (I don't know exactly what he majored in) worked first as a quant analyst on Wall Street and then as a professor of Japanese (a language he learned for the first time sometime after high school in which he had studied Russian). A dear friend of mine from college, who has been a chemistry professor for decades, is in the process of starting a career consulting business, mostly for recent college graduates, after having seen former students struggle to find jobs.
The point is that lots of very talented and employable people with specialized STEM educations don't end up with a career in exactly what they trained to do in college. Opening your mind to positions that weren't exactly what you had in mind is fine.
It also wouldn't hurt to have someone who does career counseling in the STEM area look at your resume and review your job searching history with you to see if there if anything that you need to fine tune.
For example, many employers now use AI to screen cover letters and resumes for buzz words, and someone more adept in that than I am may be able to help you optimize your applications with that in mind. Some practice rehearing for interviews also wouldn't hurt.
If you really think that additional credentials would help, and you are simply spinning your wheels, consider certificate programs focused on particular skills or specialities, rather than a whole new degree. My daughter, her fiancé, and a friend of mine who was my best man at my wedding, for example, all did that and were able to use to the credential to their advantage in their careers. Look into the kinds of credential programs that are out there in areas that interest you.
You could go for a graduate degree, but in engineering, a graduate degree is not nearly as much of a critical credential as in the sciences. You should really only pursue that if you have an academic bent that is specific to electrical engineering. I would not recommend going back to earn a second undergraduate degree in another field. That adds little value and pegs you as "weird" or "not a good fit" in the job market.
An alternative to a graduate degree in engineering, if you were so inclined, would be to pursue to law degree with an eye towards becoming a patent lawyer (or a more focused program to be a patent agent who is not a lawyer).
Another thing to consider is the geographic scope of your search. While someone with an electrical engineering degree is always employable somewhere, if you are in an economically stagnant place and are restricting your search to that region (e.g. due to the costs of living until you get a job, or family ties) there may indeed be very few jobs to be had. Studies of the after graduation earnings of people who attended various higher educational programs find that the return on investment from higher education is huge in places with booming economies, but only slightly better than nothing in places with depressed economies.
If you're in Liverpool or Cleveland or some rural area, consider looking for positions in Dublin, or London, or Vancouver, or San Jose, or San Diego, or Austin, or Miami, or Sydney, or UAE.
If all else fails, you could also consider starting a business that uses your skills. That is what I did when I was laid off from my first job as a lawyer two weeks after passing the bar when my employer lost a major client, and while it isn't an easy road in any profession, it isn't impossible either.
I have two uncles who were engineers (I don't know what their specialties were) who each started their own engineering firms shortly after finishing college. One did well for many years, went bankrupt when a major client went bankrupt and couldn't pay them in anything other than a warehouse full of wild rice (which everyone in the extended family received vast amounts of as gifts in that time period) and then started a new career all over again after that (he and his wife founded a private college in Tanzania as a mission for their church). The other managed to keep his business going well enough until he retired.
Still, don't be too focused on the long term, even if that means accepting compromises doing something that isn't your dream job now. It is better to work at something, even you are overqualified to do it, than to be completely unemployed for too long. It may be humbling to have an EE degree and end up writing webpages, or providing IT support for a medium sized office, or working in a car repair shop, or as a lineman for a utility company, or as a tutor, or as an adjunct instructor for a basic class at a local college or trade school, or an electrician for a construction company, or working retail at a computer or appliance store, or working in an appliance repair shop, or doing lighting work for a local theater company or indie movie maker, or selling little gadgets on Etsy or E-Bay. But, your current job doesn't have to be your destiny.
One of my friends from high school, who was my best man at my wedding, enlisted as a part-time soldier for the national guard to help make ends meet before he was able to shore up his business selling software on a commission basis for Microsoft, and consulting for the businesses he sold the software to (which wasn't the programming job he'd dreamed of, but worked out well in the end as he distinguished himself doing that and became very profitable with a business that had a great reputation for technical competence that many of his rivals in the software sales business lacked). I know self-employed people who have done freelance writing and tutoring high school kids in math, far afield from their primary job, to make ends meet when times were tough.
And, just because you have a job doesn't mean that you have to, or should, stop looking for a new and better job. Both of my children, and all of their peers from high school and college, are constantly looking for new jobs and keeping an eye on what the job market wants, even when they are employed full-time. I know almost no one in Generation X or younger who has worked at the same job at the same place for their entire life (the only exceptions is a cousin who was a special education teacher who had tenure at a school district in a suburb in Ohio and retired as soon as she had the thirty-years on the job that she needed to do so).
Even if you can't find paid work in the career you'd really like to do, consider volunteering in a way that uses your skills (which is also a great way to network).
For example, one friend of mine that I had lunch with last month after not having talked to for a while, had gone from being one of the most committed volunteers for a non-profit in my friend's professional specialty, to becoming its director, while doing part-time consulting on the side to supplement the limited amount that the non-profit could afford to pay. This keeps you sharp and helps keep your spirits up as well.
Finally, network, network, network. It doesn't come naturally to introverts, which most EEs are, and it is painful at first. It's especially painful to do this when you feel vulnerable because you don't have a solid career at the moment. But, that's when it's most important to do so. So, get yourself out there.
Go to high school and college alumni functions. Never say no to an invitation to a wedding, a funeral, a birthday party, or any other kind of party, or a request to help a friend of a friend move to a new apartment. Reach out to friends and acquaintances from high school and college, and cousins, that you've lost touch with. Actively participate in more than one kind of social media and have an up to date LinkedIn page. Check in on your old professors and former part-time job or internship supervisors and co-workers. Talk to your neighbors. If you're at all religious, go to church services and join a church related group or volunteer. Join clubs. Work on a political campaign. Go anywhere that you can interact with other people.
In the world of jobs and businesses, the best strategy is to have many acquaintances with whom you have only thin connections, rather than to have one or two close solid friendships.
