Other mistake: A big deal is made of Magnum wearing a suit, both by Higgins and by Magnum himself when he speaks to others. You'd expect then this to be the first time we see him donning such a formal, wear and head into a corporate meeting, but he wore in fact a suit for a long portion of screentime just two episodes prior, in Ghost Writer (2-11).
Other mistake: Magnum states his date of birth to the doctor; "August 8th, 1944." On his driver license in "Memories Are Forever" (when the General shows it to his wife) the date was January 5th 1946. (00:05:35 - 00:40:55)
Visible crew/equipment: When TC pushes Magnum's wheelchair while Rick and Higgins walk alongside, Higgins is relating the situation to another one of his experiences, and in the next shot as the Gilberts approach Magnum, a bit of the boom equipment is visible at the left side of the screen. (00:08:20)
Continuity mistake: The husband of Magnum's client shakes hands with everybody; in the first shot his other hand is at his belt, it's in his pocket in the following. (00:08:40)
Visible crew/equipment: When Tanaka escorts Magnum down the stairs in the guesthouse, just as Tanaka picks up a book from the coffee table and Magnum sits on the couch, the actor's white tape mark is visible on the floor at Tanaka's feet. (00:12:00)
Visible crew/equipment: When Tanaka asks Magnum if he's up to a little trip to jar his memory, in the next shot as Tanaka pulls up to the beach house, there's a black plastic T-mark on the sand beside the driver's side door. (00:14:00)
Visible crew/equipment: When Magnum and Tanaka are at the murder scene, Magnum says he remembers nothing about Joanie's murder (while having 'Nam flashbacks) so Tanaka tells him, "Strike two." It then cuts to Higgins and Magnum arguing about the car, and at the start of this shot lighting equipment is visible on the lawn, at the right side of the screen. There are also wood planks visible at the bottom of the screen, presumably used for the camera dolly to track forward. (00:16:05)
Other mistake: Higgins hypnotizes Magnum using as pendulum a medallion, which is a reused prop from the very previous episode; Paulo, the "travelling companion" aka boytoy of his ex fiancée, was wearing it in the finale. It makes no sense for him to have it - unless you want to write your own dark fanfiction about it. It was just a throwaway prop, on screen for a second or two, and reutilized for another brief scene here. (00:31:50 - 00:47:25)
Character mistake: Rick reveals Magnum that a certain person committed "security fraud." That'd be securitIES fraud. (00:40:20)
Continuity mistake: Dave drinks his glass almost reaching the end, but when Magnum pulls out of the gun, the glass at the edge of the table is half full. (00:43:00)
Continuity mistake: At the end of the episode, Tanaka approaches Magnum on the hammock and they have a chat. Sticking out from Tanaka's pocket, first his pair of glasses, then a packet of cigarettes for most close-ups, then the glasses again. (00:46:20)
Plot hole: Magnum gets through a wild goose chase because of two false clues, but their presence is not explained in the denouement nor makes sense. Magnum suffered no real amnesia, he says, and it's proven Magnum has never been to either places, so the parking ticket and card must come from the killer, linking them to the murder in an unnecessary way. They fill screen time nicely but do not fit the murder scheme.
Plot hole: The key plot point needs that the mechanics fixed a car completely wrecked in large parts of the chassis. So nobody gave it as much of a test run after working extensively on the aerodynamics, nobody sat on it for a moment, nobody drove it a few meters from the tow truck to the work area, at all and a single mechanic of the large car shop is able to say that with absolute certainty. It's an enormous stretch - not to mention that while Selleck's slouched posture in the episode makes it not entirely unbelievable, he is taller than Mark Withers by an inch, and the Ferrari was modified in real life to accommodate Selleck's size - there would be no way to push the seat further back, and the plot point is unnecessary for the resolution.
Italian Ice - S2-E15
Continuity mistake: Magnum pilfers the car keys from the cars, but in the first close-up there's daytime light to the shot, nothing like the night setting of the rest of the scene. (00:02:30)
Italian Ice - S2-E15
Factual error: When Magnum first approaches the Ferrari of the mobster, the front license plate is ZZG A 532. When he drives off, the back license plate can be seen, and it's 574572. Neither is a valid Italian license plate for the time period, it should also be noted. (00:02:35 - 00:07:10)
Italian Ice - S2-E15
Factual error: Marchese is calling for Maria the cook. The sentence he says to one of his henchmen is probably meant to be "I'll put her in a bodybag" in Italian, but the way he says it and mispronounces sounds like " I'll f*ck her in a sack." (00:06:00)
Italian Ice - S2-E15
Factual error: Magnum drives off in the night with the damsel in distress; a mafioso shoots at him with his 'lupara' double-barrel shotgun...3 times in rapid succession. (00:07:15)
Italian Ice - S2-E15
Continuity mistake: Magnum shuns Katrina in her tennis uniform trying to plan his day ahead for him. He gets in the car, wearing his plain brown shirt and baseball hat. First shot as he drives to town, with the voiceover going "Other than being a bit presumptive..." etc, and the Magnum driving the Ferrari is hat-less and with a bright red Hawaiian shirt. Of course when he reaches the campus he's in the hat and brown shirt again. (00:19:35)
Italian Ice - S2-E15
Continuity mistake: Magnum drops by at the acting seminar his disgruntled girlfriend is teaching. The books on the table appear in different positions under the different camera angles. (00:21:45)
Italian Ice - S2-E15
Other mistake: During the climactic scene at the acting class, the students are shown in several panning shots. If you go back to the first scene at the same location, when the students were walking away at the end of the lesson you can notice that every extra a day after wears the exact same clothes as they were the day before. (00:22:00 - 00:43:00)