For the Good of the Outfit - S2-E4
Continuity mistake: Hawkeye mails a letter to his father which is delayed in its delivery, and when Hawkeye finally receives a reply from his father it's dated May 24, 1951, but in the previous episode "Radar's Report" the weekly report that Radar typed up was dated October 17 through October 22, 1951.
Dr. Pierce and Mr. Hyde - S2-E5
Revealing mistake: After many hours in the OR Hawkeye takes a seat in the wheelchair that Radar's pushing, and when they reach the Swamp there's a wooden ramp on the ground right outside the door, which is never normally there, deliberately placed for this shot so Radar can push the wheelchair into the Swamp.
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.
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.
L.I.P. (Local Indigenous Personnel) - S2-E7
Continuity mistake: When Lieutenant Willis wakes up in the Swamp and puts his shirt on he's wearing his dog tags, but when he tosses the papers and puts on the rest of his clothes the dog tags have suddenly vanished, then they reappear, vanish, and reappear again.
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.
L.I.P. (Local Indigenous Personnel) - S2-E7
Continuity mistake: The C.I.D man's hat goes from straight to crooked between cuts in the swamp as he tries to leave.
The Trial of Henry Blake - S2-E8
Continuity mistake: In the scene of Klinger trying to escape from the 4077 on a hang glider, he secures himself into the control frame, but then when he takes off, he's hanging off the frame's bottom bar. (00:10:40)
The Trial of Henry Blake - S2-E8
Visible crew/equipment: After Henry's cleared of all charges, when Margaret drops the crumpled paper and storms out of the room with Frank, we can see chalk marks and a T-mark on the floor where Frank was standing.
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.
The Trial of Henry Blake - S2-E8
Revealing mistake: As Klinger flies on his home made glider it's easy to tell that it's a bad composition shot. Also, nobody moving in the shot of him taking off stopped to notice him.
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.
Continuity mistake: During Henry's home movies of Molly's birthday party, Lorraine brings out the cake with candles and sets it on the table, but the cake differs between the shots - note the writing.
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)
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.
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