Honestly, I'd never really message a mod. I've got shit on my account and it doesn't bother me. You just can't interact with the affected community.
If you do want to get back in that particular community, I would read the rules and determine 1) if there's anything forbidding you from contacting mods and 2) if your post broke any of the rules. If you did break a rule and a appeal is allowed you could message them, and note that you recognize the specific rule you broke, apologize, ask for forgiveness and assure them you'll be diligent in following rules going forward. I wouldn't hold your breath though, cause they've got lives of their own. I definitely would post to power tripping mods or whatever, besmirching them will get you nowhere.
I'm not gonna make an assessment on your actions.