A tennis star, temporarily confined to a wheelchair due to a back injury, rekindles an old romance with a sportswriter who had been critical of her recent performances. A woman with singing aspirations stows away on the ship in the hopes of making it to America and providing for her large family. A man annoys his wife and other passengers by constantly playing practical jokes.

Capt. Stubing is wary of the presence of his brother, a notorious scam artist who seems to have set his sights on a wealthy passenger. A woman uses a computer to track down the perfect father for her child, whom she follows on the cruise. Julie's widowed aunt falls for a man who reminds her of her late husband.

The Virgin Islands serve as a backdrop for the Grand Prix Wine-Tasting Competition, whose winner receives a $25,000 prize.

Julie books Hank to entertain, but he moonlights as a stripper. Isaac tries to set up sad Frank with girls until his ex-wife Jan arrives. Merrill recognizes passenger Jim as a jewel thief and suspects him when a diamond is stolen.

The nearness of their homes interferes with Don and Doris' romance. Artist Barbara wants to paint Merrill's portrait - nude. Elderly Frank vaguely recognizes honeymooning Stan from somewhere but can't recall details.