Okay, I don't know your entire situation, but it seems like your goal is to be an officer, correct? If this is the case, don't enlist. Go to school, and get with the NROTC program. There are other options than the 2/4 year scholarships. You can also be what's called a college programer. Meaning you drill with the unit just like the others and will do everything but the summer cruises (forgive me if this isn't entirely correct, I'm not totally familiar w/ the program). After observing you the unit can work to get you on scholarship.
Note: YOU ARE NOT LOCKED INTO ANYTHING, YET!. Regardless of what your recruiter says, you don't have to go to boot camp right now, you aren't required to enlist at this point. You simply have a reserved spot with your name on it for boot camp and the nuke program. You CAN opt out of it.
Again, if your goal is to become an officer, then go to school. It's that simple right now. Please feel free to put your thoughts and questions here. There are many people here that have a lot of experience and would be happy to give some guidance. Best of luck to you in making your decision, just make sure it's what you want to do, not what you think is the only option because of some past deadline. We can't control the future, but we can make the paths a lot easier with our decisions today.