Your scores are about average for all of the schools except Andover and Exeter. I think their averages are in the low 90’s. As others have posted, being average is fine if you have a good hook. Otherwise getting up a few points won’t hurt.
Scores definitely don’t mean everything though. I know kids from my son’s boarding school who were admitted with scores in the 60’s. These kids were athletes or mega-rich though. The average unhooked applicant will need scores at or above the 50th percentile to have a decent chance. If you need financial aid then the score threshold will be even higher.