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.
The Sniper - S2-E10
Continuity mistake: At the picnic, the basket is sitting with the end towards the camera, and bottle of liquor in it. Before the first shot from The Sniper, the basket is sideways, and the bottle in front towards the camera on the ground.
Factual error: The Logan Ramsey character tells Hawkeye and Trapper that with enough notice he could get them anything, even a B-52. The first B-52A entered service in 1954, a year after the Korean War ended.
As You Were - S2-E20
Character mistake: When Hawkeye asks Frank what he is doing, Frank replies he is lining up all bottles and jars "according to height and popularity". In fact, the bottles are not lined up according to height at all, also the order of condiments is different on the two tables. The sweet and sour gherkins Frank mentions are not there at all - during the pan shots you can see the line ends with the pepper. (00:01:50)
Continuity mistake: When Hawkeye hits on the nurse after Charlie's first flyover, his beach chair instantly folds itself up. (00:06:40)
The Sniper - S2-E10
Revealing mistake: When The Sniper begins his attack, a sandlot football game is in progress in the compound. As the quarterback goes back to throw a pass, he waits just long enough for the ball to be "shot" out of his hand.
The Sniper - S2-E10
Continuity mistake: When Hawkeye is preparing to go for his picnic, Radar brings him some brandy from Col. Blake. There is only a small amount of brandy in the bottle, which is commented on. Radar takes a jug of martini from the still to top up the bottle, but this is not done and the jug of martini remains on top of the stove untouched. When the picnic scene takes place, the brandy bottle is now nearly full with the brandy/martini mix. (00:10:00)
Deal Me Out - S2-E13
Continuity mistake: From behind, Klinger's cigar is full length, with no signs of being lit. When he responds to Hawkeye's question, it is noticeably shorter.
Factual error: Out by The Gun, Hawkeye's Captain insignia on his garrison cap is missing the lower corner of one bar. So, it would be considered unserviceable, that is, unfit for use, and should have been replaced with a new insignia.
Continuity mistake: In Henry's office, the white cloth Radar has on his ears changes positions from shot to shot.
Continuity mistake: When in the Swamp, and they show Hawkeye numerous times, the door to the stove is open, then closed, then open, etc.
Hot Lips and Empty Arms - S2-E14
Other mistake: While trying to sober Margaret up, you can see Trapper's clothing wet in spots where she hung on to him in previous takes.
Continuity mistake: In Henry's office, Burns tosses the stapler toward Radar, and it flips midair. When it falls Ito the file Radar has, it flies level, that is, not twisting in the air.
Continuity mistake: As Hawkeye and Trapper leave the Swamp to watch 5 O'Clock Charlie, Hawkeye is carrying a folding chair, and Trapper has the thermos and glasses. At the show, they both have folding chairs.
Audio problem: As Radar sets the clock back to 4:30, you hear ticking. The clock is electric, and wouldn't make a noise like that.
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