You may want to check with the DFO (Dept. of Fisheries and Oceans) on that. Licenses are sold for many types of shellfish and you want have fishers with licenses for crab, clam, oysters etc. near the island. http://www.pac.dfo-mpo.gc.ca/fm-gp/rec/species-especes/shell...
Recently one lobster fisherman (farther off shore) was caught cutting trap lines and the owner of the lines shot him a few times and then ran him over in his boat. Fishing is taken very seriously in this region, it's all some people have done for many generations.
Other than that you should be fine.