Continuity mistake: Magnum does not realise he's been tailed, and goes to pick up Kiki as promised. He picks her up at a bus stop...but the bus stop sign is gone at the first cut. (00:33:40)
Other mistake: At the USS Arizona Memorial, Judge Caine has flashbacks from the attack on Pearl Harbour, but he can't keep them in the correct aspect ratio. It's footage from a war movie (Tora! Tora! Tora!) but in the wrong proportions, so he's daydreaming of rather chunky Japanese planes. (00:39:10)
Character mistake: Mrs. Pauley says that Magnum told her that Bobby is alive "a couple hours ago", but it was the day before. (00:42:25)
Revealing mistake: The pursuing Marines call for backup, and a second jeep answers the call - through mirrored footage, though; the driver is on the right side. (00:43:30)
Continuity mistake: Magnum responds "Trust me" when Rick reminds him he's not driving the Ferrari. What follows is a close-up of Dutch, driving a right-hand car - shot has been flipped in post. (00:46:00)
Revealing mistake: In the final car chase, the military police radios for reinforcement; in the exterior shot that follows the one inside the limo with Rick on his back, foot on the cockpit, you can see quite distinctly the two stuntmen meant to be Magnum and Rick, and totally not looking like them. (00:46:30)
Continuity mistake: At the end of the episode, Magnum manages to show up for the bridge game. He opens the gate and closes it behind himself; he makes the appropriate motion and there's even a wooden clunking noise. Still, in the shot that follows, the gate is wide open. (00:47:35)