
A crate containing coconuts is wrapped in an old Honolulu newspaper that read that one of the Castaways are being sought in a murder investigation. The castaways become suspicious of each other and decide to recreate the events of the night before they sailed, in order to solve the Randolph Blake murder case.
Gilligan suggests a beauty contest to decide which of the three women will become "Ms. Castaway." Mr. Howell attempts to sabotage the other contestants by spreading glue on the stage before Mary Ann's big dance scene, and by shooting spit-wads at Ginger while she performs. The Professor blows pepper at the stage when it is Mrs. Howell's turn. Then, when all the competitions are complete, the final decision rests with the judge.....Gilligan!