Visible crew/equipment: After Harper, the JAG, has Trapper and Hawkeye sign and attest to the blood report, when Radar enters Henry's office we can see a crewmember's hand near the floor between the two doors, preventing the closing door from swinging back and forth. (00:22:20)
Visible crew/equipment: While Radar is in Henry's office with the woman and her baby, being teased by Trapper and Hawkeye about the possibility of him being the father, just as Frank walks into the office a crewmember's hand can be seen between the two doors near the floor, preventing the closing door from swinging.
Audio problem: Toward the end, after it's determined that Radar isn't the baby's father, there is a vehicle horn honking. When the camera shot goes outside, the sound of the horn is a few notes higher that when heard inside.
Continuity mistake: When Henry is shaving, he hears a knock at the door. After he says "Come in", the door opens and a cow comes in. Trouble is, the door normally opens outwards, but for the gag to work, this time it opens inwards.
Answer: Even an Army field hospital would have SOME weapons for self-defense if the enemy attacked. What's meant is that it's not a combat outfit, and therefore wouldn't have enough weapons to actually attack anyone. (It's also mentioned a few times that the Officer of the Watch is supposed to carry a pistol at all times, but Hawkeye refuses to do it when he's in charge and Colonels Blake and Potter don't enforce the rule).
Captain Defenestrator