Continuity mistake: The mud spots on Lt.Smith's face change from scene to scene. (00:09:45)

Visible crew/equipment: After Henry meets with Colonel Blanche, the Luxembourg Commander, it cuts to Hawkeye in the Swamp continuing his recording to his father, and when Trapper describes his recipe for the dry martini we can see the open edge of the tent set and a spotlight at the top left corner of the screen.
Continuity mistake: As Lt. LeClerq stands beside his commander, the Commander starts to look to his left, and drops his hand. When the angle changes, he drops his hand again.
Continuity mistake: The syringe the "Mad Turk" threatens Henry with alternates between fully ready to almost empty between shots.
Continuity mistake: As he addresses Maj. "Chicken Lover", Lt. Smith's head goes from leaning left to leaning right between shots.
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