First, the EC’s are excellent. And a tough life story which I believe was implied coupled with a person interested in the community=success.
Secondly, the reading scores is strong. That shows either you read a lot or are strong in analytical skills or both. The verbal is just memorizing words so I think it matters less. The math is a concern. Many public schools have awful math. This creates a long term issue for students/
The issue would be if you were accepted to these schools you would be really behind in the math department. I’m guessing in science too. ( Only because it’s rare for science to be strong and math to be weak). I’d say at Exeter, Deerfield and Choate, it might be too much to jump into 9th grade with other kids who are extremely prepared. Average for these schools is very high and most kids are well ahead of others their age in any school system. ( Many of these schools have kids who are a couple of years ahead in things). That doesn’t mean it can’t happen. It just may mean that you would sell your long term potential short.
I think the other schools on your list are a better bet. You will still have an academic hurdle as they are great schools but you will have a better chance to excel. You want to not only go to a BS but also excel there.
Math and science are intertwined. And about half of your main courses. If you were at 60-70% I’d say you might be able to study online this Summer and work hard Freshman year. But your score indicates a lot of gaps and to be fair to you, that’s work. And you will also have a lot of work to begin with.
Have you thought of expanding your pool of schools. Taking in some less well known schools would allow you to get a great education and still enable you to excel.
Have you looked at schools that have a program in the Summer for accepted students? You will also have from May-August to work online in math. That’s a lot of ground to cover, however.
Wishing you the best. But I would strongly suggest expanding the pool. An academic mismatch might make you lose confidence when it’s just a matter of exposure.