We can't control other people's perceptions of us. Whether they are "accurate" or not, it is their perception, and defending yourself gets old pretty quick.
I try to acknowledge where I was wrong, make amends where I can, and let the rest go. If others want to carry around the burden of their own resentments, that's their business. You don't have to be a punching bag, but you CAN walk away from it.
One of the suggestions in the Big Book is that when other people wrong us, we try to look at them as sick and suffering people, too. ALL human beings have their issues and people who are chronically angry and unhappy suffer a lot.