Other mistake: Across the show, several times doctors looking at an x-ray picture say things like, "Looks like he swallowed a whole junkyard" or "His belly is full of shrapnel." In fact, shrapnel, being metal fragments, should show up as clear white spots on the x-ray pictures, but none of that is visible in any of the x-rays shown throughout the show.
Other mistake: During this episode, Trapper and Hawkeye keep switching Frank's pistol with other things. When Frank's training his South Korean platoon, Trapper, Hawkeye, and Radar show up all decked out, and while Hawkeye's telling Frank that using the anti-aircraft gun on the compound will draw enemy planes, etc., there's a pistol in Frank's holster. When Frank turns around, we see that Trapper's right arm is bent over his fly swatter the entire time until he steps away from Frank, and when Frank draws from the holster what he believes is the pistol, he pulls out a plunger, and although it's funny, Trapper never actually had the opportunity to switch the pistol with the plunger, nor did Hawkeye or Radar.
Other mistake: When Frank's with Margaret in her tent and she tells him that she thinks they should reevaluate their friendship, there's a Life Magazine lying on her bed which is dated over 15 years in the future - August 25, 1967, with "The other war in Vietnam" written on its cover.
Other mistake: Wendel, afraid of being shipped home, is trying to escape from the MASH by hot-wiring a Jeep. Despite just having had an appendectomy, he is leaning forward and to the right from a sitting position, which would have to put pressure directly on the incision, yet when discovered by Hawkeye, he easily and without discomfort sits up straight. Aside from him still being at the MASH, we know the surgery is recent because, just a little later, he winces and complains after making a very small movement.
Other mistake: When Charles, BJ and Hawkeye steal Margret's tent, what's left is a frame of wood, including roof beams. From other episodes we know that the tents are held up by a wooden frame around the edges and a center pole. We even know for a fact that Margret's tent is built that way, because in an earlier episode Hawkeye and Trapper saw through the center pole of Margret's tent. We also know that the construction principle of the tents hasn't fundamentally changed since then, because when Hawkeye finds the oatmeal in his boot earlier in the same episode, you can see the center pole of the Swamp.
Other mistake: When Hawkeye finds the New York Times Crossword he says, "1 down, four letters..." and "1 across...four letters..." and BJ's answers are "chap" and "cast" but in the shot of the newspaper puzzle we see that both "1 down" and "1 across" are actually five letters each, not four.
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.
Other mistake: When Henry gives Leslie the gift he says, "I sent to Tokyo for this... A Sato Tanaka double-cammed reel with jeweled escarpment," and we can see on different sides of the box there's green tape hiding its brand name, "Penn," though we can still make out the "Beachmaster 155" name.
Other mistake: While the dentist is working in Henry's mouth Frank's describing Hawkeye and Trapper's pranks, and right after we see a shot of the dog licking hamburger from Frank's ear, when it cuts to Henry saying, "Frank, just leave my married life out of this. Doc, will you watch it before I swallow your watch!" keep your eyes on Larry Linville as he mouths McLean Stevenson's lines along with him.
Other mistake: After Hawkeye asks, "Radar who?" while he's kissing a nurse, it cuts to Trapper, Radar, and Hawkeye walking past a jeep parked in front of the mess tent, then another jeep shows up with Lieutenant Anderson, but both jeeps have the same stain (looks like rust) on the front bar - the same jeep was used in both shots.
Other mistake: While Radar's in post-op waiting for Henry's arrival he's seen reading Marvel Comics "Captain Savage and His Battlefield Raiders," one of the 19 issues in this series which were originally named "Captain Savage and His Leatherneck Raiders," it ran from 1968 until 1970, many years after the Korean War ended.
Other mistake: Frank padlocks the doors to Henry's office so Hawkeye and Trapper have to take apart the back wall to remove the desk, but after Frank wakes Henry to tell him about black marketeers Henry runs off to his office to check on his booze, and at the start of the shot when Henry runs into his office he just pushes open the door with Frank still a few paces behind him, never unlocking the supposedly locked door.