Factual error: Sergeant Major Dickerson wears his blue infantry cord on his left shoulder. The cord is correctly worn on the right.
Factual error: Some of the SS rank insignia is incorrect. Most of them do wear correct insignia, with two exceptions. Wagner, who is addressed as Hauptscharführer, actually wears the collar and epaulette insignia of the next higher rank of Sturmscharführer. In reality, Wagner held the lower rank of Oberscharführer. Frenzel is addressed using his correct rank of Oberscharführer, but oddly wears the collar patches of the lower rank of Scharführer and the epaulettes of the higher rank of Hauptscharführer. Bauer and Beckmann, on the other hand, wear the correct collar patches and epaulettes for the rank of Oberscharführer which they did hold.
Factual error: When 8-ball gets shot, in the shot which shows the platoon ducking near a wall with Cowboy, Joker and Animal Mother in the front, there are two weapon related errors. Cowboy's M-16 has a nickel (silver colored) firing assembly and Joker's M-16 has an A2 type pistol grip. The A2 types were introduced somewhere around the 80s, and nickel plated assemblies are rarely used (and were invented after Vietnam, too). The nickel assembly is visible at the beginning of the shot, and you can see the A2 grip when Joker is changing magazines (while Cowboy shouts cease fire).