TLSGJK94,
You're recruiter likely pushed you towards instructor because we are nearly full for the available fiscal years for NR Engineer. Once your application is submitted we (well, us and then Naval Reactors who make the final determination)will evaluate you for your academic qualifications for NR Engineer and the other programs. Unfortunately, IF there are not positions available for an NR Engineer with your academic background at that time it is possible that you would not be able to interview for an NRE position irrespective of qualifications.
Having said that, I'm not sure what availability may or may not be at the moment or of whether or not you're qualified (you're in the ballpark based on GPA, but your test scores and University come into play also) so your best bet for now is to submit the application and do some research on our website (in my signature line and in Matt's post above) to see if you would be interested in other programs should NRE not be a possibility.
Cheers,
Brian