1) I asked a federal game warden about this particular topic. If you don't pick it up, you will get two tickets...one for over the limit and one for wanton waste. If you do retrieve it, you will only get a ticket for over the limit. You have to be careful when you get close to the limit or on species with a limit of 1.
2) Leave it alone. It is not the humane thing to do, but it is the legal thing to do. Chances are a seagull will get it....they gotta eat too.
3) You can call the warden, but depending on how far away he is, he might not be able to get there. If you can read the boat numbers, you can give that info to the warden and he will probably follow up with the owner. If I could pick the birds up, I would take them to the hunters, if possible. If not, I'd add them to my bag unless it would put me over the limit...assuming I was ready to head in.
Calling an illegal alien an "undocumented immigrant" is like calling a drug dealer an "unlicensed pharmacist".