Continuity mistake: After the culprit and Marion are aboard safely, there's a shot of Magnum with the bomb in close-up, followed by another one where the timer went back almost at the starting point. (00:44:40)
Continuity mistake: Magnum puffs holding Keone's photo with his right hand - which was both hands before the sudden cut. He then drops the photo on the table, but when he digs the map from underneath the pad, the photo changes position entirely again during a sudden cut. (00:29:30)
Plot hole: Magnum asks Mac to "put together a list of ships that went down in that channel in the last 200 years." He gets the list, and it turns out of the ship of interest, amongst the many, is the Eldora, "a Spanish galleon used to carry the plunder back from Spain's numerous conquests." That sounds like something quite more ancient than 200 years, however it can be said that galleons were still in use in the early XVIII century. However, when Professor Martinez hears the news, she says that it supports her theory of early contacts between native Hawaiians and Conquistadores, which would put it centuries off range again. It also begs the question; why would the US Navy intelligence know of that galleon (but without any location or additional info) but the scholar at the university who is studying and publishing a book on that very subject is totally oblivious about it? Even Higgins heard about it.
Continuity mistake: Higgins wants to show Magnum the rare Kudu buck in a book. Picking it up from the shelf, causes 3 other books to lean forward. In the close-up that follows, just one book is misplaced. (00:26:30)
Continuity mistake: When Marion asks "He's dead, isn't he?" hair pops in front of her shoulder suddenly after the cut. In fact, throughout the whole scene notice how in close-ups it's in front of her shoulder, in wider ones behind her back. (00:24:25)
Revealing mistake: In the wider shot, the dead body the police covers has much more of a receding hairline than in the close-up. (00:23:55)
Continuity mistake: Magnum is saved, and it's time for the others to concern themselves with the assailant. Rick dives in a close-up to look for him. The mask is really close to him all of a sudden, and in a different position (practically touching Magnum's chest) in next shot. (00:23:20)
Revealing mistake: When the masked Hawaiian hits Magnum in the back with the club, for a second you can see distinctly Tom Lupo (stunt double) 's face instead of Tom Selleck's. (00:22:25)
Continuity mistake: On his way to Rick's boat, Magnum stops to talk with the witch lady. A very short drive and he's then in front of the boat. Rick is in the background and he starts moving and preparing to greet him, but in the close-up it's as if he has been chilling all along and only then decides to be active. (00:21:20)
Continuity mistake: Marion Hammond unlocks the boat door and finds a mess. Between the establishing shot of the interior and the one with Tom Selleck inside, the towel on the ladder moved, and a diary tossed on top of the typewriter flipped without anyone coming anywhere near. (00:10:05)
Visible crew/equipment: When Magnum tips his hat to the group of Hawaiians who don't want any Haole messing with their channel, in his sunglasses there's the reflection of a set light and the crew. (00:08:40)
Revealing mistake: In the photo Billy Joe shows Magnum, his sister's image appears superimposed on a background - which is also quite unlikely from anyone near Shamrock, TX, and more like a lush Hawaiian scenery. (00:04:30)
Continuity mistake: At the beginning of the episode, the titular character makes his way towards the club. He glances at the Ferrari parked there, its nose towards the club. A couple minutes later, Magnum drags him out of the club (no valets involved), and the Ferrari now is parked facing the opposite direction and with a total change of natural lights. (00:03:10 - 00:05:20)
Revealing mistake: Billy Joe Bob steals the Ferrari, but the interior shot of the car with him switching gears is stock footage; the person in it has sneakers on like Magnum, not James Whitmore Jr.'s cowboy boots. (00:37:00)
Other mistake: When Magnum sprints to the ocean at the end of the episode, his bare feet are remarkably clean for someone who has just run through a lawn freshly fertilized, with Higgins just shoveling it in his path. (00:47:40)
Audio problem: Billy Joe manages to get through the not quite solid defenses of Ito. He shoos the geisha inside Ito's chambers and tels her "Go for a little while", with the actor's lips not moving at all except for "go." (00:43:35)
Continuity mistake: When the three henchman are knocked out by Billy on the chopper, they land in distinct positions (the two rightmost ones are facing right), that change when Billy gets out of the helicopter. (00:42:40)
Revealing mistake: When Billy Joe Bob downs the 3 Japanese goons hitting them with the skid of the chopper, only two (at most) are hit and on the chest, the other (again, at most) gets the impact of the other two knocked against him, and all of them land on soft grass. Yet of course they are unconscious and KTFO for good. (00:43:30)
Revealing mistake: Magnum is back from his meeting with Ito. When TC from his seat reaches for the heli door, you can spot he's someone else wearing a ski mask. (00:33:45)
Continuity mistake: The prostitute looks at Magnum trashing the nunchaku guy hiding behind the corner. Her hand is above the leaves of the potted plant, then under it in the last shot. (00:25:25)