When Klinger eats the item off of the plate, there is a drip of "oil" on his chin as he turns to Potter and Radar. When the cuts back to him and he begins to speak, the drip is gone.
Father Mulcahy says he wishes they had a goat to get real milk for the little girl. In past installments, goats were readily available. In one installment, it is established that Col Potter likes goat's milk in his coffee which Radar gets daily from a local farmer.
After consuming "a couple of bolts, a horn button, part of a windshield wiper, and a condenser," Cpl. Klinger would need major surgery just to stay alive. Even if the surgeons let him try to pass all of this foreign matter naturally Klinger certainly would have been in no shape to drive Adm. Cox and Lt. Brooks to another destination the next morning.
When Klinger is trying to eat a jeep to prove he's crazy, he's is under the front of the jeep with an adjustable wrench - he twists off a nut from the suspension. Not only is the nut in the wrench clean and brand new, it's larger than the real nut, which was visibly not removed from the jeep's suspension.
When Hawkeye is looking for the last word in the New York Times crossword puzzle, he says it's a five-letter word starting with V. If it was indeed the last word, he would know a minimum of four of the five letters (according to the picture shown at 3:57. Additionally, according to the layout of the puzzle, there could be no such thing as a "last word." There would have to be two clues unsolved for any singular space. A close look at the numbering of the puzzle reveals that 38 across is a 22-word answer, as well.
Hawkeye reading aloud the New York Times headline "Senator Joseph McCarthy claims Communists have infiltrated the military" could not have occurred since McCarthy's initial claim came in October 1953 almost three months after the armistice ending the fighting. The media and public opinion fallout from the subsequent 1954 Army-McCarthy hearings are considered the beginning of the end for the senator as a major public figure.