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)
Visible crew/equipment: After Higgins tells Magnum that he's been accused of leering, Magnum decides to go over and apologize despite his innocence, and in the wide shot as Magnum stands up, the boom mic is visible as it hovers at the top of the screen. It's a bit visible again when Magnum returns to the table. (00:04:30)
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: 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: 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)
Other mistake: Magnum messes up his clothes at the gas station, all covered in oil, and uses them to clean the windshield. Still, when the snotty Brit girl arrives, he recovers them from the passenger seat. That would have royally messed up the interiors, and Higgins right there would have freaked out, but neither happens. (00:11:00)
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: 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)
Character mistake: Sitting at the club's beach bar, when TC urges him to give him the rest of the money Rick says "eighty" when he is in fact giving at least the 9th 10 dollars bill. (00:16:20)
Other mistake: At the appointment / trap at the abandoned shrine, Magnum hears a bell toll. He turn around, and it's clear that someone rang the bell pushing the log - it is still moving, it's not an automated system and there's no wind. but since the plot does not involve it, he just goes on like nothing happened. For all he knew, it could have been exactly where his supposed client or informant wanted him to go. (00:18:00)
Revealing mistake: Magnum finds inside of the mysterious woman's villa a folder about Higgins. On the right side, there is some insurance document stuff that is pure filler. On the left side (but that one fades fast so you may need to pause for that) you can see that truly she has him scouted thoroughly, because it contains information about not just Higgins, but...John Hillerman and his acting career. (00:30:10)
Visible crew/equipment: After Magnum packs up and leaves, when it cuts to Higgins rehearsing his "ravishing" and "champagne" lines while his sweet lads look on, the actor's white T-mark is visible on the rug. (00:36:50)
Visible crew/equipment: When Higgins opens the door expecting to see Jennifer, it's TC who says hi to Higgie Baby and walks inside, then the shadow of the boom mic starts moving on the wall at the top, right side of the screen. (00:39:35)
Revealing mistake: When the bad guys show up at the main door surprising Higgins, the background (save a couple plants at the side of the door) is matte painting. (00:42:50)