What are my chances for Restrictive EA at Princeton or Harvard

SAT I (breakdown): Sitting 1: CR=690, M=780, W=780 (E=10)
Sitting 2: CR=750, M=740, W=670 (E=11)
Superscore: CR=750, M=780, W=780 (2320)
ACT: none
Freshman yr: 690 Bio M
Soph yr: 740 chem, 740 world history
Junior yr: 800 Math II, 800 USH, 780 Bio M
Unweighted GPA: 95.8
Rank (percentile if rank is unavailable): top 3%; I go to a very competitive specialized high school in NY (bronx science)
AP (place score in parenthesis): world history (5)
also took English Composition, Biology, and US History this year
IB (place score in parenthesis): none
Senior Year Course Load: AP spanish, AP Comparative Government, AP Chem, AP Calculus AB, AP Lit, Post-AP Biology, Math and Bio Research
Major Awards (USAMO, Intel etc.): Gold Medal at a Math fair, possible Intel semi-finalist, national merit scholarship semi-finalist, ap scholar</p>

Extracurriculars (place leadership in parenthesis): Bio Journal (Editor), Lector and Alter Server at local church, Volunteer at Learn to Swim Program the last 6 years, Debate Team (2 yrs), Big Sib homeroom leader, random acts of kindness club (4 years), red cross club (2 years), editor of Exposition social science magazine, member of Math Bulletin.
Job/Work Experience: Intern at Memorial Sloan-Kettering the last 2 years.
Summer Activities: Internship, researching for intel project
Essays: working with a professional
Teacher Recommendation: English--should be very good
Bio Research--also has potential
Counselor Rec: I think it will be good.
Additional Rec: Probably from my Msgr in the church or my Intel Mentor</p>

<p>State (if domestic applicant): NY
Country (if international applicant):
School Type: Large Public ~5800 students
Ethnicity: White
Gender: Male
Income Bracket: 100-120k+, no FA is all i know really
Hooks (URM, first generation college, etc.): First generation college (none of my parents went to school, they are immigrants to this country)</p>

<p>Please help me with
And which school I should choose for REA!! I'd like to apply to the one I have the best chance of getting into.</p>

<p>I am currently a senior who will likely choose a science (biology) major.</p>

<p>THANK YOU!!</p>