So if you’re near the top of your class, you’ll be competitive. Of course, schools like Princeton are a very high reach.
That concerns me a lot. All the schools you’ve listed have low to very-low acceptance rates, which means they are unpredictable. You run the risk of being shut out from all these schools. I would strongly advise adding at least one school that you’re likely to get into and would be happy to attend and maybe a few others that are easier admits than the schools you’ve listed.
Can you also tell us your budget? Check with your parents if you aren’t sure.