Hawkeye and the presiding Col. of the court addresses the character played by Jack Blessing as "Capt. Rollins" but he was listed in the closing credits as "Lt. Rollins".
The officers present at the court-martial have anachronistic and decidedly non-military hairstyles, ones common in the 1980s.
The character Lt. Rollins is wearing Captains bars.
At the Court Martial proceedings where Klinger is being tried for the theft of Hawkeye and BJ's Polaroid Camera, the judge describes it as "grand theft". Given that Polaroid cameras during the 1950's ranged from $70-$80, this would not have been a high enough dollar amount to constitute "grand theft", and the charge should have been "petty theft" instead.
Captain Rollins uses the legal term "res ipsa loquitur." This is a legal term referring to self-evident negligence, and is used in civil cases, not criminal cases (for example, a barrel of flour falling out a window of a flour mill onto a passerby).
Winchester's medical Latin is incorrect; it should be "Unum pilula acidum acetylsalicylicus, tris in die, post cibum." which, correctly translated is: "One pill/tablet of acetylsalicylic acid - i.e. aspirin - three times a day, after meals."