Continuity mistake: While Norm Vogel is meeting with a man at the Hawaii Museum, getting information about the tiny shells from Alea's necklace, in the wide shot we see the map with the island of Molokai, when they walk over to it. In the next closeup of the map, there are now three small (fictional) islands north of the island of Molokai, which have been deliberately drawn onto the map for this closeup. (00:32:50)
Continuity mistake: When Magnum takes one of the outrigger canoes, the paddle he uses to paddle away from the island has a normal handle, but in the overhead wide shot facing Magnum's back, he's using a paddle with a T-grip handle, then it's back to the paddle with a normal handle in following shots. (00:21:05)
Continuity mistake: While Rick goes around asking if anyone's seen Magnum, there's a closeup of Rita as she pulls back one side of her blouse to admire her new tattoo, and in this closeup she's wearing a watch with a silver face and her new tattoo has a horizontal curve, but in the next shot Rita's watch is a smaller all black style and the tattoo is now more vertical. (00:33:35)