Nita - You can get lobster in the supper club.
They have a nice menu including veal, filet mignon, lobster, porterhouse steak...you get the idea.
If I were you, I would take a look at your itinerary and figure out ahead of time what night/s you would like to go to the supper club.
Then, when you get on the ship, you can make your reservations promptly.
Hope this helps!