Continuity mistake: Leaving the hospital magnum has a black eye on his right side. When he gets home it's on his left eye.
Continuity mistake: When Magnum takes the Audi to go after Buck, the Audi's rearview mirror disappears and reappears during the car chase. (00:33:00)
Continuity mistake: After Higgins finally agrees to Magnum's three month deal, when it cuts to the Ferrari driving down the street, the car easily drives forward into the huge space between two other parked vehicles, but in the next shot the blue vehicle parked behind the Ferrari is now much closer (note the parking meter), which would have made the Ferrari's previous maneuver impossible. (00:18:40)
Continuity mistake: Magnum is pouring sweat at the beginning of the episode, with a huge sweatstain at the front of his tanktop. He's wearing the same one when he talks to his client, but it's all dry. (00:03:00)
Continuity mistake: In the barroom brawl, Rick foolishly attacks the huge dude. He backhands him into oblivion, sending him falling back-first off frame. Rick crashes on the stools belly-first though, and the stools were at very short distance, not exactly room for him to turn another time and fall as shown. (00:22:55)
Continuity mistake: Magnum stares wide eyed at Buck and his target practice in the bathtub. In the shot of the room, you can see in the head area of the target already a soot mark where the extra hole will open later - and there is no trace of it in the opening close-up. (00:14:55)
Continuity mistake: Higgins and Agatha fall down in the longshot facing the same direction, but when Mad Buck sits up and puffs, they are facing each other instead. (00:07:30)
