Visible crew/equipment: When Digger drives the Ferrari up to the gate of Robin's Nest, crew and location filming equipment are visible on the surface of the car. (00:09:45)
Other mistake: Contrarily to what TC says, the alarm is not 'covered with corrosion', in fact it looks pristine. (00:16:55)
Continuity mistake: When Magnum does his puking act to make his best friend lose a lucrative job, the lady's hair is in front of her shoulder hen the camera is in front of her, windblown away from it when the camera is behind. (00:21:10)
Continuity mistake: Rick's hand with the remote turns at every cut when he makes the password joke on a depressed Higgins. (00:26:20)
Visible crew/equipment: During the fake accident, in the semi-POV shoot with the camera behind the wheel, you can spot roadside the film unit (crew and equipment) that filmed the previous shot, with the car cutting the bike's path. (00:27:00)
Continuity mistake: The bike falls down diagonal to the road lines, but it's practically parallel in the rest of the scene. (00:27:00)
Factual error: Magnum is scouting the prison facility with his binoculars. During the scene, the audio track to give the impression of the jungle surround has the trademark kookaburra laughter, which is not a Hawaiian bird. (00:33:55)
Revealing mistake: Magnum is carrying up the mountain stairway a Higgins-shaped dummy instead of the real John Hillerman, as obvious by the lifeless bounce of its legs. (00:38:20)
Audio problem: Magnum screams "SHUT UP!" to Higgins, but actually when John Hillerman is on his back during the mountain climb and mentions Lord Mountbatten, his lips are not moving. (00:38:40)
Continuity mistake: At the end of the episode, Joy is laughing when Higgins mentions the various bands; her position on the couch changes rather obviously between shots. (00:48:00)
Continuity mistake: When Higgins starts yapping about the fascinating case of the homosexual corporals in Wales, Magnum sighs with an arm over the couch's back, changing from the earlier pose between cuts. (00:48:20)
Continuity mistake: During the rescue escape, while Magnum is carrying Higgins on his back, Higgins has handcuffs around his wrists. Each of the locked wrist cuffs have a single and double bar, and during the span of the rescue these cuffs switch direction and face the opposite way around Higgins' wrists, which is impossible.
Continuity mistake: Magnum is stretching after his morning jog in front of a bottle of Coops that turns between shots. (00:02:35)
Continuity mistake: TC is trying to convince Magnum at the beginning of the episode, and tells him "Bet you can do it." Ten seconds pass and there's a new reaction shot on him laughing at Rick's little Higgins impression. Thing is, those few seconds a large ship that was present in all the other previous shots disappeared at the horizon all of a sudden, and there are fresh slipstreams showing that it is a much earlier or later take. (00:03:05)
Continuity mistake: TC tells Magnum "bet you could do it" when Magnum puts down his beer. Next shot and Magnum's hand is suddenly around the beer bottle again. (00:03:05)
Other mistake: Magnum tells Higgins he has just twenty-three hours to solve the case when both the clock at the Nest and the one at the Honolulu Lulu's Pool Hall show it's half past four. Magnum though accepted Babs' case around 11:30 AM ("11:29 at the tone", Rick jokingly said). (00:07:35)
Continuity mistake: Magnum and Babs walk away from the phone he greatly amused Higgins with. In the background, the bar clock shows 5 o'clock, when it was 4:31 merely seconds before. (00:08:40)
Continuity mistake: The scene when Barbara Terranova murders Magnum at billiards is shot with zero regards for continuity, just filming shot after shot even when the balls' positions do not match at all. Just look at the opening shot botched by Magnum; most balls are cluttering the middle of the table, but Babs takes her first shot shocking Magnum on a largely clean green rug. (00:09:30)
Continuity mistake: Magnum tells Barbara to go to the bathroom leaning against the windshield; his hands is turned in different directions depending on the camera angle. (00:13:30)
Revealing mistake: Magnum manages to shake off the 'government guy' by putting his car on a jack while Babs provides a distraction. But if you check the moment when the guy gets on the car, the back wheels are in frame and not at all off the ground as the clever ruse needs them to be. (00:14:40)