The hunting and target restrictions imprinted on your license mean just that. They are restrictions. It is the intention of the issuing authority to restrict your license for the purposes of hunting and target use. If you violate that restriction, you will be violating their policies. You can risk revocation. As I understand it, your area is much more gun friendly than mine (downstate). I wonder if you can obtain an unrestricted license. Did you inquire?
Some useful information can be learned from these web sites.
http://public.leginfo.state.ny.us/me...MMONQUERY=LAWS
http://handgunlaw.us
Also, remember, your license is no good in NYC.