I just went through the whole process of applying. I was pretty discouraged to see that I did not receive an appointment, but I was in a similar position to you a year ago. For the SAT, I got a 740 on math and a 710 on English. 3.83 GPA w/ honors, IB, and AP classes. I played four years of varsity lacrosse (captain senior year), three years of varsity hockey (assistant captain junior and senior year), and two years of varsity cross country (captain senior year). I was also in NHS and several other volunteering positions. Everyone who I talked to told me I had a very strong resume, so it goes to show how competitive this application is. One aspect which everyone can help themselves in is the essay and other portions of the application which measure the intangibles so that you are selling the best of yourself. You are already set on this path early which is always helpful. I know a few individuals with worse statistics than you who have gotten in. So all I can say is keep doing what you are doing, you are on a good path towards success. Send in your extra letters of rec early. Take ACT as the different style of questions might suit you better: I went from 87th to 97th percentile from ACT to SAT.
If it doesn't work out, have a backup plan such as ROTC.
Best of luck to you!