As far as fining motorists for horn usage, if it works like everywhere else in the US there is no way they could ever actually make good on the fines. As long even a small percentage of people requested a court hearing (doesn't matter if it is a jury trial or something else) the police officer would basically spend 1 day writing fines, the remaining days in the year just sitting in court.
I'm unsure though, maybe NYC has a provision allowing it to issue fines you can't contest.