I am starting my first year of grad school in the Fall from the same university I got my bachelors from. I am going for my masters of science in mechanical engineering because my school does not offer the aerospace one.
Please look at this thread for information on what classes you should take. It may help you decide what to do.
https://www.physicsforums.com/showthread.php?t=321099
Here is my experience and it too may help you figure out what you want to do.
I graduated from an ABET accredited university, but the masters program is not Abet accredited.
Since I am going to the same school I graduated previously from, I did not have to take the GRE. (saves some money) but if i ever want to get a PhD i will have to take it.
I think you should think seriously about going for your masters of aerospace... and would most likely advise against it (if my advice means anything anyways) just because masters of science in ME is more broad and there are more areas you could get a job with it, rather than being so specific in aerospace.
Im sure it you can do the same for aerospace, just get a job in another field, but why take the chance, especially when the job market is so flimsy right now?