Shit is fawking retarded!
I would fight it for sure. I doubt you will get the noise violation one taking off, but the ticket about the car being on should be dropped. If not, that is fawking ghey!
Hell, I don't have a remote start on my car, but god dam if I don't go out and start it up when it is cold outside.........and I can't lock my doors as I have no other pad, nor am I about to take my pad off my keychain every time, unless I am not at my house that is.
Man I am pissed for you!
Also if the ticket for your car being on was 250, you are telling me the noise ticket was 350? Fawk that state!