Visible crew/equipment: When Higgins whispers to the dogs to 'Stay' after the ruthless home invader shot a hole in the barrel, in the close-up of the dogs you can see in the background a crew member in the upper right corner, by the broken barrel. (00:18:00)
Continuity mistake: The wine stain on Higgins' chest changes shape and size throughout the episode; in particular you can notice from the wine cellar to the sequence upstairs when Magnum spills the drink the stain gets longer and thicker on the button line. (00:18:30 - 00:19:10)
Revealing mistake: The criminals have to get back inside the house because the cars for their getaway are "waist deep in mud", but they show no sign of having been anywhere near them; their shoes and bell bottom jeans are spotless. (00:22:35)
Continuity mistake: When Prince Roland calls the bandit "Impressive, but foolish", his wife's hand is on the table holding a cocktail umbrella all of a sudden at the cut. Later in the same scene her other hand holding a glass peeks in view showing she is drinking, but in an intermediate shot she is actually pouring the drink in another glass, moving the hand in another direction. (00:23:20)
Continuity mistake: When Wanda Martine, Princess of Turbia has a giggling fit at the expense of Candice Wingate's dead husband, she holds no glass, but was holding one in the previous shot. (00:24:40)
Visible crew/equipment: When Magnum and Higgins go to the kitchen to boil water, for a spot of tea, a white tape mark is visible in the floor, near the sink. (00:26:15)
Other mistake: With power out Magnum somehow lights the gas stove with the knob, which is electric. Should have used a match. (00:26:40)
Visible crew/equipment: When Rick and TC are boarding up the dining room window, the actor's white tape mark is visible in the floor, between their feet. (00:36:30)
Other mistake: The killer is finally in action; they get a semiautomatic with a silencer from a case, then they do an ominous gun-in-hand walk bit (filmic stereotype where someone just walks with a gun out for no reason instead of concealing it). The shadow of the gun there though shows no sign of a silencer. The killer shoots indeed with a silencer - the audio implies that - but in the shadow you can see it is now a revolver. (00:44:20)
Factual error: This episode is set during a party happening on the weekend of Spring equinox, which means end of March. but it's also happening during a devastating hurricane. No hurricane (not tropical storm) has ever occurred in Hawaii in that month or anytime close to that; hurricane season in the Pacific starts at its earliest in May, and used to begin towards July in the 1980s climate.
Other mistake: The Prince and Princess of Turbia are, according to Higgins, "Fixtures at Robin Masters' parties." Makes no sense then that they have no idea how Higgins looks like, since it's established that he's been taking care of the estate for over a decade - of course, Masters does not reside in Hawaii himself a lot, but earlier in the episode it is established that he runs those parties at his villa yearly.
Continuity mistake: After the introductory scene in Ulster, Father Paddy McGuinness flies to Hawaii. The United airlines plane shown approaching the islands though is two different planes; the colors are different. In flight it has a horizontal gradient red and blue stripe, the second plane, shot during its landing, has a blue horizontal stripe with a red wave-like strip underneath. (00:06:45)
Continuity mistake: When Magnum is tailing Legs at the beginning of the episode, extras are recycled continuously walking left and right in the crowd. In particular, a guy with a pink shirt and light beige pants and suitcase is on both sides of the stream of Japanese tourists (behind Magnum when he stops the first time, and behind Legs when she smiles after Magnum takes a picture). (00:07:35)
Continuity mistake: When Father Paddy McGuinness toasts saying "Erin go Bragh", the cigarette in his hand gained length compared to the butt he lit just a moment before. (00:09:00)
Continuity mistake: Magnum walks out of the bar with 'Uncle Paddy'. As they take position and he takes the photo, extras are recycled - for instance the woman in long purple dress walks in the same direction in different shots. (00:11:00)
Continuity mistake: Higgins arrives at the dingy motel and walks past some broad in green. He approaches the counter, and there are bathroom doors on the left wall. The men's room has a "Out of order (Do NOT use) " sign. Said sign is hanging on the right side of the door, but just from camera angle; during his chat with the filthy porter the sign is on the left side of the door. (00:21:15)
Continuity mistake: Higgins approaches the concierge of the Low Surf Motel, manned by none other than Donald P. Bellisario, the producer. There's a drunk man leaning to the desk and clinging to his bottle of booze; in the first shot, to the very left of the frame you can spot his right hand moves away from the bottle's neck and goes on the counter. Change of angle, and the guy is back holding the bottle with both hands. (00:21:15)
Continuity mistake: Father Paddy spots Higgins staring at him at the 'Beach Bar' and exclaims the title of the episode. The glass of watered down drink next to him is full. Next shot and it's almost empty, change and it's full again, etc. (00:23:30)
Character mistake: Higgins at the bar orders "Glencadam on the rocks", but it's been established since the pilot episode that he loathes ice in his drink of choice. (00:23:55)
Continuity mistake: The bartender at the Beach Bar serves Higgins the authentic Hawaiian scotch. It looks bad enough in close-up, but when Higgins holds it in hand the colour is even paler and the straw has even messier and more disgusting hair on top of the hula dancer doll. (00:24:35)