When the camera angle keeps changing, so does the condition of the pie Margaret is holding.
During the final scene when the chopper returns, Colonel Potter's jeep approaches it from the wrong side. The only access to the helicopter pad is by the road up the side directly ahead in the shot. His Jeep comes from off-camera to the left where there is no access road.
When Margaret picks up the sugar bowl to add some to Hawkeye's coffee, Loretta Swit's fingernails can be seen at over an inch long. No nurse, especially a head nurse, would have fingernails that long.
After Margaret takes the clothes of Hawkeye and BJ in the shower leaving them to exit the shower tent naked, you can see some kind of garment on Hawkeye's waist as he and BJ exit the shower.
"Little Mac," Capt. Hill's dummy that he uses to balance his helicopter, is filled with stuffing and is shown being tossed around easily, so it couldn't weigh more than 10 or 15 lb. This would be insufficient to work as a counterweight against a wounded soldier, who would weigh between 150 and 200 lb.
At this point in the series, Father Mulcahy has performed a tracheotomy under fire and twice risked his life to acquire badly needed drugs for the 4077th. It seems unlikely that he would be repeatedly passed over for promotion.
When Charles calls Hawkeye Capt. Wet Noodle, that's what the audience hears, but his lips say something else.
When the chopper comes back with Mulcahy, you can see three studio lights reflected in the front of the chopper as Potter goes by it.
Throughout the run of the show, Hawkeye is supposed to be a doctor that has been in Korea for some time. His being confused by the counterweight dummy is out of character for a doctor that's been there any great length of time.
After Margaret steals Hawkeye's and BJ's clothes from the shower room, Hawkeye is overly upset about having to go through the compound naked to get back to their tent. In an earlier episode, he had walked through the compound naked just to see who would notice. And he is always trying to seduce the nurses, and now he is suddenly shy and embarrassed when he gets to the tent and the nurses are waiting to catch a look at him.
Charles says "Love may be what makes the world go 'round, but revenge is the axle upon which it revolves." Rotate and revolve are two different things; whether he meant to evoke the image of the world circling around revenge or revenge being the Earth's axis, he should have said, "the axle AROUND which it revolves", or "the axle upon which it ROTATES."