Revealing mistake: In the car explosion, the dummy inside the car is actually quite well done, but the camera lingers too long on it giving away the complete lack of any movement before the blast. (00:27:50)
Visible crew/equipment: After Magnum walks out of the guesthouse brushing his hair, in the next shot Detective Kaio is standing alone on the grass by the garden wall, with nothing particularly noticeable on the ground. In the next shot, as everyone else joins Kaio, now notice all the small branches/stones which are strategically placed on the grass to mark all the actors' positions, especially the two branches placed as a "T" where Magnum stands. (00:29:50)
Plot hole: Magnum is defending his client from the detective's interview, and doing so he says "The bomb that blew up Lindsey's car could've been planted at any time yesterday." Now, Magnum had no way to know that the murder happened through a car bomb; he just learned of Bart Lindsey's death from Higgins, and he rushed to the beach without getting additional info, nor seemingly this info was given by the police crew in the first place. but he knows! Magnum is obviously the murderer. Not really, but it's the kind of statement that gives a murderer away in traditional whodunits, generally. (00:31:00)
Other mistake: Magnum spots a patrol car inside the impound lot. He and TC duck down, and they are at the side of the car. The same side the camera is at, when it gives us a view of the patrol car passing by. It's plain daylight, and they officers have to be completely blind to Miss those two big dudes lying by the side of the car in a spot they have a clean eyesight on. (00:36:20)
Visible crew/equipment: In the study, when Magnum tells Higgins that he opened the front gate for Rick and TC, Higgins then reminds Magnum about the poet who'll be staying at the guesthouse. Then Magnum walks over to the desk and we can see the actor's white tape mark marking the spot where he sits (it's gone when he stands up later). (00:37:35)
Audio problem: When Ox punches Magnum in the final act, the one oonf!-ing in pain is seemingly Denny Miller and not Tom Selleck. The canned sound when he goes KO a few seconds later is equally disjointed. (00:42:10)
Revealing mistake: During Magnum's fight with the security guard, the guard sells the punch a mile before it hits, and in the end supposedly goes KO, but is still breathing hard and moving. (00:42:30)
Other mistake: The whole Ferrari/pick-up truck shenanigans of this episode conveniently forget Higgins having usage of a perfectly good Mercedes. (00:47:00)
Other mistake: A plastic bag with a wallet and a watch, placed right next to a claymore mine when it explodes with a whole car, would hardly stay perfectly intact, and completely untouched by the police when they already towed the car to the impound lot.
Continuity mistake: The crazily intense security guard catches Magnum searching the desk and says " Take root and heist 'em." Magnum holds still in two different positions between shots.
Other mistake: This episode is the season 2 finale, but was obviously produced early, with numerous shots from it appearing in the opening. A big deal is made out of Magnum borrowing "the Rolls Royce of cameras", but he has used routinely the camera throughout the season. Higgins even asks him if he needs instructions about the various lenses, when one of the previous episodes involved as sub-plot replacing one of the priciest ones, and the feature-length episode had a bit about it as well.