I still don't know about the two of you combating with H over him... It's just feeding his ego most likely.. I honestly think you would do better to DISTANCE yourself and your daughter from him rather than getting argumentative...
I dont' know what you consider a good note, so I can't comment on that part... To my mind though if he's still cheating and communication ends on a good note that's just validating him.. but again I am not in the room so...