Revealing mistake: Toward the end of the episode, Henry is talking to a general on the phone when the chopper is coming in. He's trying to tell the man that he can't hear him. As he continues trying to talk, he gives up, and hangs the receiver up on the skeleton's head. If you look, you can see the hook that was conveniently placed for the gag.
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Plot hole: In this episode, the military money, or scrip, is being called in and exchanged for a different color (and assumedly design - otherwise counterfeiters could just keep using their printing plates) to battle counterfeiting. However, in previous episodes several colors of scrip are being used equally and at the same time - e.g. in episode "Hey, Doc" (4-5), Sgt. Kimble collects a pot consisting of both blue and tan one-dollar scrip notes. No previous indication was given in the show that the army started a practice of using just one color at a time.
Factual error: The MP describes the antique vase Burns is supposed to have bought as "An 800-year-old seladon vase of the Ko-Yu dynasty". Later, Burns packs up a white vase to send to his wife. Seladon is by definition green, and that kind of color glazing definitely wasn't around in the 13th century. What Burns packs up looks most like early to middle Quing period - or rather a contemporary ripoff.
Continuity mistake: When the Champ falls forward, he gets wine all over his sweater - you can see it when Potter and Hawkeye lift him. After the cut, his sweater is clean again. Considering the position of the stains relative to Hawk's hand, at least some stains would be visible.
Continuity mistake: When Klinger refuses to give Winchester the letter from his sister, Winchester screams at him, Klinger jumps and falls to the ground next to Winchester's bunk. After the cut, Klinger is sitting next to Hawkeye's bunk (note the airplane seat in the background instead of the door) and Winchester is holding the letter in his hand opening it. Rightfully it should be on the floor next to Winchester's bunk. If you look closely, you can see it flying out of Klinger's hand towards the door.
Revealing mistake: When Radar carries the field phone from Col. Potter's desk over to Hawkeye who is squatting in the corner, the phone doesn't have a phone line attached. It is an EE-8 Military Field Phone, which is a wired device, not a radio - even if Radar elsewhere says he has somebody "on the radio" when in fact he is using an EE-8.
Other mistake: When Hawkeye drives the damaged tank out of the camp, the front MG is missing. There's not a mark on the armor surrounding the MG port that might suggest it was destroyed in battle. Why would a tank in combat just be missing one of its MGs?
Continuity mistake: As Hawkeye climbs under the table to hide there are three small stacks of white bandage boxes on the table. When the shelling starts, all the boxes in two of the stacks fall off the table, leaving one stack. When the shot changes, there are suddenly two stacks of boxes on the table.
Revealing mistake: In the shot where the horse kicks in the door, there's actually two shots - a kick, a quick cut, another kick. If you look closely, you can see how the hoof of one of the horse-leg props breaks off during the first kick. The second kick is performed by one leg only. If you look really closely - and probably use the slow-motion function - you can even make out the hand of the one wielding the leg through the hole made in the first kick.