I think your looking very good for NU. Your GPA and test scores won’t hold you back at any of the schools on your list with the exception of Yale. Additionally, the high upward trend in GPA helps a lot because it shows you are growing and maturing as a student and have the potential to be a scholar in college (I’m in a very similar situation as you in terms of rising GPA and this is what I’ve heard). Your EC’s and leadership are great, so that shouldn’t be a problem either. And, considering your letters of rec are great, you look like a solid applicant for all these schools except Yale and possibly UPenn, which are reaches for everyone except Pacific Islanders with perfect SAT scores that have cured cancer. 
Here’s my chances for you:
Yale - reach
Georgetown - low reach
Penn - low reach
Cornell -
Tufts
William and Mary
NYU
GW
American