Chance me for Rice, Carnegie Mellon, MIT, Tufts

Hi! Senior here. If it’s not too much trouble, I’d like to ask about my chances of getting into Rice, or other high-tier schools like Vanderbilt, MIT, Tufts, or Pomona. Here are the highlights of my profile:

Testing:
34 ACT Composite, 1 sitting. 35 English, 32 Math, 34 Reading, 33 Science, 9 Writing (out of 12, right?)
2160 SAT Composite, 1 sitting. 700 Math, 770 Reading, 690 Writing. Might retake Nov. 7th. 1 sitting.
760 SAT Math II, 730 SAT Physics, 740 SAT US History

Extracurriculars:
Champion, UNO Computer Science Programming Challenge
2nd Place, IT Innovation Cup (basically a yearlong team-based computer engineering contest with a good community service hook, I made a virtual reality environment with Oculus Rift to treat PTSD)
Robotics Team
Marching Band
Concert Band
Junior Varsity Tennis
Band Manager (leadership)
Summer Internship (legitimate research position with local university)
Paid Job (Expo/Server Assistant at local restaurant)
Debate

AP & Honors Classes:
AP Micro/Macroeconomics, Honors Biology, Honors Geometry my Freshman year.
Honors World History, Honors Advanced Algebra, Honors Chemistry, Honors Literature my Sophomore year.
Honors American Literature, AP Computer Science, AP Geography, Honors German 4, AP Physics 1, Honors PreCalculus, AP US History my Junior year.
AP Government, AP Literature, AP Composition, AP German 5, AP Physics C, AP Calculus BC this year.
5’s on AP Geo, AP US History
4’s on AP Physics 1, AP Computer Science, AP Macro & Micro

Grades & Class Rank:
3.84 Unweighted GPA out of 4. (My school does not weight GPA) Ranked 30 out of 485 at the end of my Junior year, weighted class rank. These will probably go up slightly by the end of the semester, as my current GPA is 3.90 and I’m taking a lot of harder classes.

Other stuff (honors):
Mu Alpha Theta Honors Society
National Honor Society
National Merit Semifinalist (so far - still working on finalist application)
AP Scholar with Distinction

If you guys could let me know how competitive my profile is, that would be great! Thanks!

Bump