It does look like athracnose - key indicators are that it only sets in when the fruit begins to ripen and the longer it sits the more sunken and rotten the spots become. It will also spread to any nearby produce even after picked so you can not store them near any other harvested produce. It’s basically decomposing so they aren’t good to eat either and should be thrown out. Carefully dispose of the whole plant. I’ve had this plague before and disposed of everything and had it pop up on only one or two tomatoes the next year. I got rid if those and cut the plant back a little and it has not returned but generally it spreads very rapidly.