While I understand why you posted in the UA forum if it was a UA flight, IMO this thread doesn't belong here. UA follows the same rules other carriers do with regard to prisoner transport.
I don't believe you're owed answers to any of the questions you posed except possibly a. (Question c in particular is ridiculous!) If they answer "yes" and you ask very, very politely, they might rebook you as a courtesy, but they certainly have no obligation to do so.