I am a supervisor of a structural analysis group for a large Aerospace company. I have worked with most of the major aerospace firms in my career. I have a degree in Aerospace Engineering from Texas A&M.
I interview recent graduates for employment in my department. The first thing I can say is that if anyone asks me what kind of jobs they can get here, or what do we have for them, the interview will be very short.
Why would I want to hire someone who's spent 4 years working VERY hard to get a difficult degree, but doesn't know what they want to be when they grow up. At that point, you're a professional and a professional attitude is expected. You will be paid a lot of money for your judgement and analytical abilities. Not knowing what you want to do with your expensive degree convinces employers that you have developed neither.
Ask yourself why you chose Aerospace Engineering in the first place. If you did because it was 'cool' then you may have made a mistake. If you're in it for the money, you definitely made a mistake. If you have a love of math, aircraft, physics, knowledge, solving problems, etc. then you're probably in the right field.
-Samba