It's a national competition for NROTC sideload scholarships. The unit your at doesn't matter, to the best of my knowledge. Same with Advanced Standing. Of course being at a good unit can help you succeed through what you learn etc. But its going to be up to you to give it all you got. Good luck.
EDIT: Also GPA and SAT are part of the application and those will be up to you entirely although tutors will be available, especially for calculus.