What does it take to get into the Naval Academy? Am I on the right track?

My dad served in the Navy for seven years, and I would like to continue the tradition my great-grandfather started so long ago. I'm an incoming junior, but my parents have always encouraged me to think about college and my future. I have begun to seriously consider the academy. I'm aware of it's rigorous lifestyle, but I like a challenge. I attended a military camp for two years, in which I thrived and graduated with a high ranking. I also attend a boarding school, military for the guys, so I am constantly surrounded by a similar way of life. Am I qualified/on the right track? My GPA lingers around a 3.7-3.9 (I've gotten a 4.0 a few times). I give back, as I volunteer at a community service center. I've played piano for over 10 years now, and guitar for two. I know Hebrew, Japanese, and I'm about to take my third year of Latin. I'm in honors courses, and I will be taking one AP Cl this year, along with the AP English test. I played basketball, tennis, I shot for our marksmanship team, and am on the crew team. I am involved with student leadership, as the girls' operate on a prefect system. Any of my teachers/friends/counselors will agree that I am a hard worker and give 100% of my effort. I took the PSAT last year, and I scored in the 92nd percentile for reading, 96th percentile for writing, and 75th percentile for math. (Math is my weak point)