I don’t know where all of these schools are, but I will tell you this, if you apply to schools that have lots/many other applicants from your area, it will be MUCH harder to get in. They are just not going to take that many kids from one spot. Even going a little bit further than normal should help. Most kids want to go 1-3 hours away. Go beyond that and you’ll likely improve your chances a lot.
Exeter and Andover have very low acceptance rates, so I would consider them to be reaches for all. I’d delete one of those choices and add several more than are in the 15-25% acceptance rate area. There is not going to be an educational difference between a school accepting 10/100 kid or 80/100 kids, both have a large group to choose from and will be able to get the kids they want who they hope will be successful.
There might be more applicants this year with more schools online due to Covid, or there may be fewer. No one knows. I think it’s likely they’ll be more since kids will have lost a year due to Covid in some areas. Or parents will be frustrated by the online/hybrid learning model. A lot will depend on what happens this Fall.
Have you visited any of these schools? Gone online and done your homework? Hopefully you will be accepted to one/many of the schools and be able to do revisits. One can learn so much during the interview. Remember you are interviewing them also.