Since the cops were called I would have to assume the crew had to file some paperwork with DL. So, there crew's side of the story should already be documented.
Because of that I think it's worthwhile for OP to contact DL. The incident has likely gone onto the OPs "permeant record" and could create a nasty surprise of being refused transport at a future date.
I don't know how the OP handled the crew and what might have happened when he gave them an earful about playing Chatty Cathy in the aft section, however, he did the exact correct thing when dealing with the cops. ^