Again, it’s not all about stats. Bringing gpa up 2-3 points is good, but not enough in the “whole” picture.
And 87 in a major AP humanities class plus in (regular?) physics set you behind for hum or stem. Sorry. But they will look for your strengths- in classes, in school and community ECs, and in your thinking. The competition will be solid 4.0 kids who’ve been activated over several years.
Add to that, no directed ECs (mun is good for some majors, sure, but what else? And you have no math-sci activs to back up a possible stem intetest.) Chess is not a hook. It’s a nice thing, but even natl champs need more.
What about local service or local community involvement?
You need to look at this from an adcom’s perspective. (And right now, you haven’t. Youre asking about stats.) Sorry, but the competition is fierce. You need to start asking yourself who you are, what you would add on their campuses, not just view this in your hs context. You need a coherent picture.
Please tell us your state. If VA, there are no guarantees for UVA.
The one intriguing thing is the monastery. But what balances that?