Wolf suggests a very good idea, but I would recommend you doing it only if you are trying to prove a point. I have fought a ticket in Quebec before and had the penalty reversed. The only problem was that whatever courthouse you are going to fight this in will charge you an amount equal to or more than what your ticket cost was in the first place.
Rest assured that this has NOTHING to do with what is right or wrong and everything to do with C$$$$$$$$$$$$
IMO, the best thing you could do is spend your money in Labrador next time you want to Caribou hunting. In addition, every time you see someone that wants to go to Quebec to hunt; educate them to these hidden costs that they are at risk to end up paying.