When hawkeye is in the swamp he is holding the report with his right hand but in the next scene he is holding it with his left.
When hawkeye and radar are in the mess radar picks up his bread but in the next scene he is holding a fork and takes a bite with it but in the next scene he is holding his bread again then in the next scene he is holding his fork again.
Frank Burns applies shaving cream, and when the fragments drop, there is no cream remaining even though he had not yet completed shaving.
Hawkeye tells Major Stoner that in lieu of a commendation an honorable discharge will suffice. Officers are not discharged. They resign their commission or are released from duty.
When Hawkeye & Trapper are in Blakes office, in the background hanging from the ceiling is a model of a Bell UH-1 (Huey) helicopter. The first flight of the Huey was in 1956, after the Korean war ended.
While looking for Henry, General Barker surprises Radar who is drinking Henry's booze and smoking his cigars. But Radar is called Radar because he is supposed to know what is about to happen before it happens. So, this was one time it would have served him well.