Your academic qualifications are impressive! 
In conjunction with your leadership positions, they’ll make you a very attractive applicant. Looks like you have a good chance at Columbia and UPenn, but Princeton would still be a high reach, even though you’re applying early action (it’s that way for basically everyone who applies). Good luck! Chance me back please?:
http://talk.collegeconfidential.com/what-my-chances/1781500-chances-for-dartmouth-yale-princeton-etc.html#latest