When Hawkeye and B.J. are announcing the plans to have breakfast outdoors, Charles and Margaret are seen walking up behind the crowd twice.
Maj. Winchester says that he outranks the cook, SSgt. Pernelli, by five promotions. But with a battlefield promotion to second lieutenant, Pernelli would need only four promotions to reach major (2LT, 1LT, captain, major).
When Pvt. Gillis is pointing his rifle at Father Mulcahy, there is no smoking billowing from the muzzle. A rifle discharged only seconds earlier -- as Gillis's had during their struggle -- would be emitting smoke.
When the eggs arrive and the personnel are in the kitchen shouting out their egg orders to the cook, the boom mic can be seen hovering over the cooler.