Continuity mistake: When Jennifer tells off Magnum asking "You don't give up, do you?" Tom Selleck's wet hair is all frizzled up in different curls on the forehead between the wide angle and the close-ups. (00:13:25)
Continuity mistake: When Magnum is fighting the one yo-yo and a half at the gas station, the big one grabs him in a bearhug. Magnum's shirt is down straight, but in the closer view his shirt is caught up in the clasped hands of the giant and is raised halfway up his back. (00:09:25)
Continuity mistake: When Magnum, holding his pants just with his hands, screams that "YES" he and the well-bred lady did indeed meet, she is holding her hat in a different way between shots; the bow on the hat is up in the first shot, at 6 o'clock in the next. (00:11:15)
Continuity mistake: Continuity issues happen once Magnum gets back to the table with his buddies, discussing how hard he had been blown off. TC's financial newspaper is folded differently and is still or windblown depending on the shot. Easiest transition to pick the mistake from happens when TC reaches for the money for bet; the wind lifts the page, which is perfectly flat an instant later. (00:06:00)
Continuity mistake: Magnum offers to give the uppity girl some tour and introduce her "to some people." Wind flips through the pages as he says that, but the book she holds is perfectly open and still at the edge of the frame in the close-up. (00:05:20)
Continuity mistake: During the beach scene at the beginning, extras get recycled - look no further than the girl in pink/purple gradient bikini that runs from right to left a few times between shots. (00:03:45)
Continuity mistake: Higgins gets to the beach and lambastes Magnum for his "aggressively offensive attire" (on the beach, which is in fact absurd). During the scene, when the camera is on Selleck, in the background the weather is pretty cloudy, while in the wider angles there's bright sunlight on the beach and extras involved. (00:03:45)