As Henry is hanging the Blumington, IL students' pictures, he can be heard whistling the theme to Gilligan's Island. Gilligan's Island did not air until September of 1964, over eleven years after the Korean War.
Henry is from Bloomington, IL, not Blumington. Henry is whistling the Popeye theme, not Gilligan's Island.
Before smashing his head into the locker to make it look like he was attacked, Col. Flagg checks the locker to make sure it will do the job. But it's obvious that it is not made of wood, but some sort of rubber or soft plastic material.
When the three soldiers who are trying to steal the penicillin run through the camp, the sound makes it obvious they are running across a stage and not on dirt.
The doctors are fine with performing an unnecessary appendectomy is this episode, but in a later season they consider it to be mutilation and immoral.