Other mistake: Hawkeye, Henry and Trapper are playing scrabble. The board is in an illegal state - in the lower right corner 'it', 'jot', 'joy' 'yearn' and 'in' are not connected to the rest of the words. Since the others call Hawkeye on his non-existant word, I'm assuming they're playing properly.
Factual error: While Radar's lying in bed, Margaret reads a letter to him which was written by Wanda McCandless, and in the letter Wanda mentions that her favorite songs are "Pretty Thing..." by Bo Diddley, and "Oh, The Wayward Wind..." by Gogi Grant, but the problem is these songs were written and recorded in 1955 and 1956, years after the Korean War was already over in 1953.
Add timeSuper Grover