Deal Me Out - S2-E13
Continuity mistake: During the poker game Frank walks in wearing a white hospital scrub, then the camera pans to Sidney and back to Frank who is now wearing a army jacket. (00:08:12)
Character mistake: While talking to Condon, Hawkeye and Trapper relate the story of Dr. Charles Drew, the man responsible for the storage of blood and plasma, and how he died due to not being allowed in a "whites only" hospital after being involved in horrific car accident. The true story is that he was taken to a "poor whites" hospital. Despite being black, he was admitted, and though the doctors worked diligently, his injuries were too severe, and he died. His family sent a warm letter thanking the doctors for their efforts.
Visible crew/equipment: While Radar is in Henry's office with the woman and her baby, being teased by Trapper and Hawkeye about the possibility of him being the father, just as Frank walks into the office a crewmember's hand can be seen between the two doors near the floor, preventing the closing door from swinging.
Continuity mistake: When Frank walks into the Swamp and puts down the typewriter, in shots facing Frank the manila envelope's open flap faces up, but in shots facing Trapper and Hawkeye while they're pretending to argue the envelope is flipped over with the flap facing down, then when Frank walks back to the envelope the flap faces up.
Visible crew/equipment: Before the meeting in Henry's office starts, when Margaret and Frank take their seats, under Frank's chair we can see the chalk T-mark on the floor behind him.
For the Good of the Outfit - S2-E4
Continuity mistake: While Radar and Hawkeye are in the mess tent, after Hawkeye cracks a joke about how the cook sculpts grease into the shape of lamp chops, between shots facing Radar and the shots facing Hawkeye we see Radar either holding bread in his right hand or a fork.
Visible crew/equipment: When Dr. Freedman's in Henry's office before Klinger walks in, just as Henry says, "You're the doctor," the shadow of the moving boom mic can be seen at the top left side of the screen.
Continuity mistake: When Trapper and Hawkeye are sitting outside the Swamp, Hawkeye pours the martinis from the tall glass beaker, and in the shots facing Hawkeye there are quite a few large ice cubes in the beaker, but in the shots facing Trapper there aren't as many ice cubes floating in the beaker.
Visible crew/equipment: While in the mess tent, when Henry introduces Hildebrand to Margaret it cuts to Henry as he says that she's the best head nurse in Korea, and at the top right corner we can see the open edge of the tent set and what's behind it.
Hot Lips and Empty Arms - S2-E14
Visible crew/equipment: When Margaret walks into Henry's office while Trapper, Henry, and Hawkeye are watching a "training film," the actor's chalk T-mark can be seen on the floor.
Visible crew/equipment: After Radar walks into the Swamp and gives Hawkeye and Trapper the coffee and case folders, just as Radar tells them that he was too sleepy he walks out, and the actor's chalk T-mark can be seen on the ground (although faint, it's distinguishable).
The Trial of Henry Blake - S2-E8
Continuity mistake: When Radar walks into the Swamp to sell wingtip shoes to Hawkeye, the dartboard isn't hanging on the door, but in two of Radar's closeups we can see part of the door with the dartboard on it.
L.I.P. (Local Indigenous Personnel) - S2-E7
Continuity mistake: After Lieutenant Willis wakes up in the Swamp he gets dressed and puts his tie around his neck with its tail end on his right, but when it cuts to his closeup the tie's wide end is at his right side, then it switches again.
Continuity mistake: When Hawkeye's saying goodbye to the nurse in the morning, he reads "35591715" from her dog tag and says, "Even your number is pretty," and then he makes another date with her and again reads her dog tag, but now the number's "39591715."
Visible crew/equipment: While Margaret's reading the story of 'The Three Bears' to Kim, just as Frank walks into the tent the curved chalk foot mark can be seen on the floor.
Other mistake: When Hawkeye and Trapper are arguing with Henry about not sending the little boy to the orphanage, Henry says, "Look, you think I wanna send this little fella away? I got two kids of my own. I'm a former child myself," but at the end of season 1 Henry's wife delivered a boy, whom Henry was aching to be with, so Henry really has three kids.
Dr. Pierce and Mr. Hyde - S2-E5
Continuity mistake: After Hawkeye and Trapper leave the OR, when they open the door to the Swamp the dartboard is not hanging on the door, but in the interior shot the dartboard's there.
Visible crew/equipment: After we hear General Clayton in the voiceover talking about how it sometimes seems like Henry is Radar's clerk, during this scene in Henry's office we can see the shadow of moving film equipment - likely the boom, at the top, left side of the screen.
Visible crew/equipment: Right after the opening credits, in the first shot as the words "Directed by Jackie Cooper" appear onscreen, the shadow of the moving boom mic can be seen at the top, left side of the screen.
Answer: Even an Army field hospital would have SOME weapons for self-defense if the enemy attacked. What's meant is that it's not a combat outfit, and therefore wouldn't have enough weapons to actually attack anyone. (It's also mentioned a few times that the Officer of the Watch is supposed to carry a pistol at all times, but Hawkeye refuses to do it when he's in charge and Colonels Blake and Potter don't enforce the rule).
Captain Defenestrator