When LTC Blake makes announcements, he mentions one of the films to be shown later would be "Godzilla and The Bobby Soxers". It is obviously a spoof title, but is also an anachronism. The Korean War was fought from 1950 to 1953, but the first Godzilla movie was not released until 1954 in Japan (1956 in the USA).
A movie announced over the loudspeaker is Godzilla and the Bobby-Soxer. The first Godzilla (Gojira) Movie came out in 1954, a year after the Korean War ended.
Hawkeye does not use his stethoscope when taking Margaret's blood pressure, which would have been necessary to do with the style of gauge he was using.
When Hawkeye is giving Margaret her physical he puts the cuff of the blood pressure gauge around her forearm. The cuff must be around one's upper arm to take an accurate blood pressure.