What are my chances?

<p>Important to know:
I am currently a junior.
I go to a well-known, prestigious high school. My school has quite a reputation in the nation.</p>

<p>As of now:
First time taking the SATs, I got a 2040. (600 CR, 760 Math, 680 Writing)
For AP Bio exam, I got a 4.
For SAT Bio Subject Test, I got a 740.
For SAT Math Level 2 Subject Test, I got a 720.</p>

<p>Advanced Class History:
Freshman year: Hon Algebra II, Hon French II, Adv. Earth Science
Sophomore year: Hon Geometry, Hon French III, AP Bio
Junior year: Hon English, Hon Precalc, AP Chem, AP Stat</p>

<p>What I will be doing:
Take ACT. My target is 33. (or alternatively retake SAT for about a 2200)
Take AP Stat and Chem exams. My target for Stat is a 5. For chem, a 4.
Take SAT Chem Subject Test. My target is in the 700s.
Retake SAT Math Level 2 Subject Test. My target is 800.</p>

<p>Extracurriculuars:
Volunteered over 70 hours at a hospital
President/creator of Horror Film Club
Treasurer of Entrepreneur Club
Been part of school swim team for 2 years</p>

<p>From the given info, what are my chances of getting into the top 20/30ish schools like...NYU? What schools should I try?
Or do I have no hope of getting in such schools?</p>