SCEA Princeton, RD Cornell, Northwestern, UMich, Caltech

Hello
I’d like to know what my chances are for the following schools (I plan on majoring in some type of Engineering for each of these schools, so if applicable, please chance me for the specific colleges within these Universities): University of Michigan, Northwestern University, CalTech, Princeton University, and Cornell University.
I am a high school Senior
My GPA UW: 3.87
W: 4.21
Class rank: 21/790
AP’s: Have taken 8 so far, am taking 7 this year
SATs: 2230 Super score consisting of 750 Critical Reading, 760 Math, 720 Writing
Highest Single Test Day score: 2190 consisting of 750 Critical Reading, 720 Math, 720 Writing
SAT Subject Scores: 800 Math Level II, 730 Chemistry, 730 Physics
ACT: 33 Composite consisting of 30 English, 34 Math, 32 Reading, 36 Science
Extracurriculars(I do not do many, but the few that I do, I’m fairly dedicated to): Competed in academic state competitions and have won 6 State Championships in total
Science, Math, Social Studies, Interdisciplinary competitions 3 total State Championships
Captain of the Social Studies team Junior Year
Key Club
Spell Bowl (state spelling competition)- 3 State Championships
Captain of Spell Bowl team Senior Year
NHS
Participated in Indiana Math League
AMC 12
Trig Star
Chess Club
TEAMS Co-Captain Senior Year
National Merit Commended Scholar

Rec Letters: The one I got from my AP Lang teacher was superb, letter from my AP Physics C: E&M teacher was pretty good.
South Asian Male
If I need to supply any more information (within reason) just let me know.

Thanks everyone.

UMich does not super score. What is your best single sitting score?

^^ He said 2190.