The name of the actor from Titanic that is puzzling the castaways is Billy Zane. He also starred in the movie The Phantom (The name of this episode).
When Chet starts to remove his shirt, he reveals an "L" tattoo identical to the "L" that was embroidered on all of Laverne's outfits on Laverne and Shirley.
One of the actors suggested is Matthew Fox, who played Jack in Lost. Lost is one of the shows that inspired Wrecked.
When the passengers are trying to figure out who played the fiance in Titanic, one of the names written on the side of the plane is Tim Curry. Tim Curry played the villainous character Simon Doonan, in the the 1996 miniseries Titanic.