Lobster season (when you can eat lobster, fresh or otherwise) starts June 15th. There is NO closed season where it is permitted to eat frozen lobster but not fresh, it's important to understand that closed season from February 15th-June 15th means NO LOBSTER EATING or stocking of lobster of any kind! This is to stop "stockpiling" which would erode the lobster population. Also it eliminates the temptation to buy lobster during the off season and say that it was caught during the open season...
There is no season for stone crab, its available year-round.
and there is more info at: http://ambergriscaye.com/pages/goodscv/lobster.html