In another thread I asked about superscoring and from what people say it isn’t an average of scores but the best score that would be taken. I personally don’t get it, like does the one person at the school just write down on a separate piece of paper the best score then the sheet with both test results away and give the admissions team the sheet with the best scores? How do they unsee that a kid got a lower score on a section and not use it against them or use it to their benefit? Do they say “wow look at this improvement!” Or do they say, “hmm wonder what score really is reflective of what this kid knows?” (Can you tell I hate standardized tests 
). I mean I get the purpose but I also understand that it only shows a single point in time and how a kid tests at that single point. Like what if your son takes it again and gets an 82 in math but tanks the reading section getting a 65 that day. What does that tell an AO? I really don’t envy their job with all of this either.
One thing I’ve seen is that people recommend a second go at the test especially if you think it might help but that is for school that require the test. Maybe finding out from each school how many kids actually submitted test scores last year vs how many applied and then maybe they have the same number for the kids admitted. Ask if they recommend which students should submit scores (maybe it’s the ones who’s grades don’t really reflect their knowledge vs the kid with straight A’s) 
Ugh I hate these tests haha.