So, you "signed up" and you are leaving in a few months. What is the path you are leaving for?
Obviously, signing up as enlisted is not a direct or short path to officer. Aviation and Nuke paths are not even close to each other, except when nukes run the reactors on a carrier. If you want to be around planes - get an aviation rating. If you want to fly them - well, you should be looking at College / ROTC with aviation / engineering degrees.
If your recruiter told you this was a good plan - find another recruiter.
Good luck, thank you for your future service, and life is what happens when you are working on your plans. I was gonna be an architect, and signed up for GI bill...