Early in the episode, Switek refers to Pursley as a commander, but in the credits he's listed as a lieutenant.
Crockett reads a military record, noting that the man was wounded in combat in Grenada, then sent to a VA hospital in Hawaii. Grenada is in the Caribbean and only 1,400 miles from Florida and 6,300 miles from Hawaii. This makes no sense.
Levec falls over the railing and straight down, yet he lands in the pool another ten feet away. He couldn't have made that jump unless he had a running start.
When Joe Dan shoots the Dealer with the crossbow. Two things happen the first is the crossbow jumps. No trained soldier would let the weapon jumps like that. A crossbow is not a gun it would recoil like that. The second thing is the sound effects are of the bolt being fired. The bolt dose not leave the crossbow.
Joe Dan and his friends dump the cocaine into the swamp. Aside from what the drugs will do to the wildlife, they also dump the plastic bags. Even in the 1980s, the problems of plastic permanence were known and it is unlikely that people living as close to nature as the Miccosukee do would thus willingly pollute their land.