When it is B.J. and the guy playing poker the guy puts his cards down on the table to bet but in the next scene he has them in his hand again.
At the end of the poker game B.J. is trying to get people to stay in and as he is asking their guest the man is buttoning his shirt but in the next scene he is fixing his cuffs.
The pinball machine BJ is playing is a Gotliebb "Spot-a-card". This game was produced in 1960 well after the Korean War. There is another game with this name made in 1943, but that one does not have flippers.
When Hawkeye and BJ are playing Go Fish, BJ loses the hand and owes Hawkeye 10 mints. However, he only gives him 8.
When arriving late to SSgt. Rizzo's driving class, Pvt. Brown twice refers to Rizzo as "sir." But as a staff sergeant, Rizzo is a non-commissioned officer and does not rate being called "sir." Pvt. Brown should have referred to Rizzo as either "Sergeant" or just "Sarge."
During the poker game, when Hawkeye gets up for a drink, BJ & Sgt Verbanic get into a bidding battle over the hand. Hawkeye looks over BJ's shoulder at his hand, a 10 of hearts, 8 of spades, 9 of spades, Ace of spades, & 6 of diamonds. The camera pans back to Hawkey with a look of disbelief on his face. If Sgt Verbanic had seen Hawkeye's face, he would've stayed in the game.
Col. Potter gives his TV payment bill to the mail courier so it can be mailed home. Why doesn't his wife pay the bill? Previous episodes have indicated that mail to and from the states can often take weeks. Because of the delays, his bills would be late and he'd probably have penalties and interest added to the total.