Other mistake: When Magnum makes a typo with the "Torpo Corporation" name, he types "Torbo"; B and P are nowhere near. And to fix it he types a B, and backspaces. That's not how it worked, ever. (00:27:40)
Continuity mistake: Overnight, Magnum uses the modem on his own. In the close-up when he picks up the receiver, the glasses on top of the tissue box are missing. (00:27:25)
Audio problem: When Rick turns towards Magnum asking "Basketball?" his lips still move in the next shot without a sound. (00:25:00)
Character mistake: Rick says "It's working, here it comes" a second too early, when the kid hasn't finished typing the name and hasn't launched the search just yet. (00:24:40)
Factual error: Even if we ignore the Hollywood magic of the 80s when you can just get into the CIA database with an Atari operated by a kid, the modem also turns the hospital TV on. That's quite the omnipotent device.
Continuity mistake: In the first shot of Magnum's room during Rick's visit with Waldo's codes, the modem is to the left of the phone, along the left side of the bedstand. In close-up the modem and cables take the whole width of the bedstand, horizontally placed. (00:23:30)
Continuity mistake: Rick bends in front of Waldo reiterating that it "A little hard" to believe that he's with the CIA. In the reverse shot his arms are lower than the previous shot. (00:19:25)
Other mistake: Higgins is outraged about a precious 1923 sketch being stolen by Rick's friend. Then again, that invaluable (as he puts it) piece of paper was stored in an open rack, rolled up with a rubber band. That's hardly how such an antiquity would be preserved by someone who finds it this valuable.
Other mistake: The guy rummaging through Waldo's stuff in the room does not get alerted by their loud chat outside the room, nor the door unlocking, not even their steps; he just turns around suddenly when they both are in the room, standing still in silence and looking at him, who has his back turned to them. Must have had eyes on the back of his head. (00:09:10)
Audio problem: Waldo admitted the breaking and entering. Getting in the car with Rick he says "Would you just listen to me for one second?" but his lips do not move. (00:07:40)
Continuity mistake: Magnum is in the hospital. There's a kid playing Defender on an Atari with Rick. In the close-up, the cord of the joystick dangles to the left, very visible, but it is not in the other shots. (00:04:00)
Continuity mistake: During the initial infiltration attempt, the little guy puts his hand on the railing once the alarm rings. His hand is on the inner part of the top, but when the guards storm the front porch guns in hand, he has it flat on top and moves to inner only a second later. At the very end of the scene he also has a guard pointing an automatic weapon at his head, but he was several steps behind in the wide angle. (00:03:10)
Luther Gillis: File #521 - S4-E2
Other mistake: Luther decks one of the old ladies with a punch. When he strolls past them after slipping Magnum a mickey, he looks back at them, and one in particular, who is sporting a patch. It is not the same lady he punched earlier. (00:17:35 - 00:21:30)
Luther Gillis: File #521 - S4-E2
Other mistake: The guesthouse scene with Magnum and Luther opens with a prolonged gag about Magnum "finally" getting an answering machine. It is said that it's the first time he gets one. But in the season 1 finale, "Beauty Knows No Pain", Magnum's client Barbara Terranova commented that the message on Magnum's answering machine mentioned the club. (00:03:25 - 00:18:00)
Luther Gillis: File #521 - S4-E2
Continuity mistake: Supposedly Magnum and Luther have been tailed just after release from prison (the second time), but they have a complete change of clothes and accessoires. They can't be back from Robin's nest, because Higgins is outraged to see the man again on the premises - and really everything about dialogue and situation implies the opposite.
Luther Gillis: File #521 - S4-E2
Other mistake: For the first 2/3 of the episode (up until their second prison visit) Magnum is wearing the same watch he had been wearing for the previous three seasons, with a leather strap. For the last part of the episode he wears the pepsi bezel watch with a metal bracelet that he inherited from his father and was the focus of the previous episode and will be his regular watch for the rest of the show, in kind of a retcon.
Luther Gillis: File #521 - S4-E2
Continuity mistake: Magnum resolves to shake off the guys who are tailing them; to do so he switches gear; the wrist of whoever is doing that action in close-up wears no jewelry, and Magnum has a metal bracelet. (00:29:00)
Luther Gillis: File #521 - S4-E2
Continuity mistake: Luther and Magnum figure out that there's something wrong with the nun's words, so they turn around and star running back. There's a street worker behind them, dressed in yellow and red. She sidesteps out of Luther's way. To the outside. In the reverse shot she is walking unperturbed between them. (00:33:30)
Luther Gillis: File #521 - S4-E2
Character mistake: In the opening shot of the "Busy B", the name of the show on the marquee is "To young to care" (00:30:40)
Luther Gillis: File #521 - S4-E2
Continuity mistake: Luther is mumbling about the "race car" not being helpful in the car jam. The car at their side changes, and there's an extra line behind it - they were in the middle line in the previous shot. (00:30:20)