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I agree with you, @Lindagaf - you have nothing to apologize for. Don't. And I would not stop by again or leave a note referencing the police incident. If he is a nuisance, you will have other opportunities to talk to him again, and you can at that time mention in passing (if it is appropriate and you don't come across as seeming to be snoopy for noting the police at his home) happening to see the police at his home and hope all is ok, but that if it was noise related , then it seems other neighbors must have been disturbed as well. Don't bring cookies. That almost seems like a reward, not a gesture of good will.
You are not in the wrong, so do not need to be deferential or apologetic. Sounds like you were appropriately matter-of-fact and polite, and you are in the right. Hopefully his kids wont retaliate. Hopefully since they weren't involved in the incident, it will be a non-issue. Stay safe. But don't let them intimidate you.