Do I have a shot at Ivies?

I'm currently a junior in high school. I'm hoping to get into Princeton or some other Ivy League school. I'm waiting for my SAT scores to be sent to me from March, but I will be taking them again. On practices I usually get 2220-2280. My weighted GPA is 98. I have a B freshman year in history, a B sopre year in history, and I might be getting 2 or 3 B+'s this year in Spanish, AP Language and POSSIBLY AP US History. Through junior year I will have a total of 6 APs. I am more of a science and math guy though. I have taken the highest level courses for each cl, skipped pre-calc, and doubled up on AP sciences. In science and math I always get A+s. I plan on taking 5 APs next year. As far as extracurriculars, in I'm in science olympiads. I compete in teh ecology event and got 1st place at the regional finals (out of 63) and 5th at states (out of 49). In mathletes I was selected to participate in this county tournament. I placed 16th of 190 (all juniors in high school). I've done math research. Discovered an algorithm. Got 1st place at a competition (out of about 500 I think). I've done marine biology research over the summer at USC. I'm doing some research right now. And I just got into a summer research program that accepts less than 15% of its applicants. I think my resume is pretty strong, but I'm afraid my SAT score and GPA might hold me back. What do you think?