Continuity mistake: During the surf ski race, Magnum is wearing sunglasses or not, and his paddle goes from white blades to red blades, back and forth several times. (00:42:15)
Continuity mistake: Magnum asks Higgins "In the meantime, you're just gonna sit there sipping brandy, being terribly British?" Higgins answers "Yes!", cut to Magnum, hands crossed, then cut to Higgins finishing his glass, and then, all of a sudden and with the clock ticking all the way through in continuity, Magnum too is sitting there with a glass of brandy in hand. (00:31:35)
Continuity mistake: When Magnum says "Ah forget it" while TC and Rick are toweling him, there's a racer behind them who hops all happy. Next shot and she's waving the towel she had around her neck. (00:43:40)
Continuity mistake: Magnum during the surf ski race wears two different hats; first we see his Tigers hat (white logo), but then he has the yellow logo Da Nang hat - which he lost in the ocean during the season opener when the two "turkeys" capsized his craft. (00:42:00)
Continuity mistake: Magnum speaks to Higgins in the study after the romantic dinner mix-up. The collar of his jacket is straight all the way up in wide shots, and loose in Tom Selleck's close-ups. (00:27:40)
Continuity mistake: Magnum approaches Vivian and Higgins' table carrying an oar; during this wide shot the table has direct sunlight all over, but in other camera angles they are in the shade. (00:10:55)
Continuity mistake: Higgins outside the British shop is stammering. He says "But I..." and a blonde with sunglasses and a hair clip quickly walks behind him - nobody was walking towards them from that direction in the establishing shot. When a wider angle is again presented, there she is; that woman is approaching from that same direction. (00:07:15)