You're extremely modest. You have a chance. Can you chance me too?
Please chance me ... I'd really really appreciate it!
Your grades are strong and your SAT is good. Take more SAT IIs, but you don't need to retake Chem. 740 is already a pretty good score. If you're school doesn't offer that many APs, the Ivies will understand that part. Just make sure you make your courseload as challenging as possible. By all means, take Honors classes if you have to. Your ECs do look decent, and Latin sounds quite exotic compared to the Spanish/French everyone else has.
Harvard/Yale/Princeton/Stanford - high reach (they're difficult to predict)
Dartmouth/Brown - slight reach
Cornell - match
I think I'm missing a few Ivies .... but you look like a solid candidate. Make sure you have some safeties and good luck!