Continuity mistake: In the initial phase of the conversation over the phone (and the road) with Agent John W. Newton, Eric Tobin's hand shifts slightly on the microphone between shots (the position of his index is different), and in a much more evident flub, when he says twice "Delta One" at the very end he has no left hand at all on the phone receiver in the first shot, and does in the second. (00:03:00)
Continuity mistake: When Rick sits by Magnum and Laura, he puts his left hand on the armrest. It's the whole forearm in the next shot. (00:05:15)
Continuity mistake: Laura tells the story of the 'visions' she has of Eric Tobin. More and more engrossed, she says he keeps "falling and falling." Her long mane is off the left shoulder. Cut to Magnum for a second, and she's got hair everywhere around her face, only to have again face and shoulder clear of hair in the next change of angle. (00:09:10)
Continuity mistake: Magnum explains that the "delta section" of the US Army does missions involving stuff like sabotage, assassination, terrorism (!). Laura protests saying "Eric couldn't have been a part of anything like that." She says it with hair in front of her right shoulder, in contrast with the previous shot. It switches back and forth again with the change of angle. (00:12:10)
Continuity mistake: When Magnum stands up telling Newton he wouldn't give him the directions to Diamond Head, Rick in the background is leaning against his right hand in the first shot and has both hands on the file in the second. (00:22:55)
Continuity mistake: After telling Agent John W. Newton to "go suck an egg", Magnum walks away...but no so far, because he is leaning against the railing just across. His right hand is far away from the vertical beam in the first wide angle, and on top of it in the next closer view. (00:23:00)
Continuity mistake: Higgins and the other higher-ups at the King Kamehameha Club march towards Magnum after the shooting incident. Their positions change between shots - Rick's thumbs move from the belt to his front pockets and the guy with the powder blue jacket is behind the guy with the mustard one. (00:26:05)
Continuity mistake: For the final confrontation with the rogue Delta agent, Magnum moves from the van where he (foolishly) left unguarded the bad guy with the damsel taking cover behind one cable drum, to another. He looks back in a close-up as he clings to the drum, and the van is far in the distance behind another drum. He then looks forward, towards the tower where the agent Tobin is hiding, and decides to move. Only, we see that his sortie is beginning from the large spool the van is parked next to. (00:42:50)
Continuity mistake: Magnum runs away from Tobin's fire, ducking by a large piece of construction equipment. In the closer shot that follows, that element casts a large shadow Magnum repairs in, and that was nowhere to be seen earlier. (00:43:20)
Continuity mistake: When Agent John W. Newton is shot to the shoulder, he drops his M-16 behind him, a couple meters above his head. Magnum retrieves it from the vicinity of his foot. (00:46:00)