Trapper says that Mr. Kwang is "up on desertion charges." But according to military law, desertion is based on the intent never to return to duty. Mr. Kwang left the base for the birth of his child and seemingly had no intention of fleeing his military obligation. He should have been listed as AWOL, which is the accurate (and less severe) charge of leaving the base without a pass (even though, he actually did have a signed pass that Col. Blake didn't recall signing).
During the poker game, Zale states that officers live better and, "eat better", but throughout the series, the doctors routinely eat the same food in the same mess as the enlisted men.
When Trapper and Hawkeye have their meeting with Dr. Pak in the swamp, Trapper walks over to the still to pour martinis. Above and behind the still the roof of the tent is folded back revealing the trees outside.