Continuity mistake: Higgins hobbles towards the club's beach bar in his horrid state (you'd think he wouldn't be caught dead looking so ridiculous) and starts reminiscing about the war and trying to mooch a cigarette. In the background, the same blonde with a black bikini hops over the wall twice, and same for the Asian with a blue/black swimsuit. Moreover, a girl in a red bikini and yellow towel keeps making back and forth walks by the surf on the beach. (00:29:30)
Continuity mistake: Rick tosses the lighter on the table when Magnum shows up tobacco-blocking poor Higgins. The lighter is in a spot on the table next to a paper cup that was never there and is gone after, and the lighter moves too. (00:30:45)
Continuity mistake: Randolph puts the secretary on hold as Weston Reese tells him his plan to keep Magnum a target. Randolph's arm is in a different position on the desk depending on the camera angle. (00:28:25)
Continuity mistake: Magnum is in James Randolph's office and 'the new guy' is talking to him. He says he disagrees on Magnum's hypothesis; in the transition both him and Randolph have very different positions, with Randolph's hand on the glass and arm raised differently, and J. Weston Reese's arms from crossed in front, to his pockets. (00:26:45)
Continuity mistake: Magnum is hunched over the Ferrari opening the door when the car first tries to run him over, but in close-up Tom Selleck is standing tall. (00:22:50)
Continuity mistake: In the very brief dinner when Claudia tells Rick that it's over between them, she casts a shadow behind her in close-ups, all the way to the left in the other shots. The difference in ambient lighting of the whole table spot is significant too. (00:18:20)
Continuity mistake: Magnum and the corporate executive are having a chat after the board meeting. Throughout the scene, the same extras (starting with a man in a blue shirt and camel shorts, a man with a brown pattern shirt, a woman with a baggy sand dress) walk back and forth over and over in the mall or behind them at the tables. (00:08:00)
Continuity mistake: When Magnum reports that he narrowed the possible spy candidates to those in marketing, his hands are crossed over - but in the next shot, he is crossing them again. (00:06:40)
Continuity mistake: Higgins' hand motion when he whips out of the cigarette case is incoherent between the various shots. (00:05:40)