The photograph to the right of the window and above the radiator changes. It looks like Rudolf Hess until the fuel explosion, then the picture is of Heinrich Himmler.
In the very beginning of the episode the writing on the warehouse reads "Warenhaus". But the german word for "warehouse" is not "Warenhaus", it should read "Lagerhaus". The german word "Warenhaus" means "department store" or "general store".
Major Hoffman wears the silver oak leaf of an SS StandartenFuhrer (Colonel).
The four pips on the Gorget patches of Doug's uniform denote an SS Sturmbannfuhrer (Major). He was addressed as a captain.
Doug and Tony land in France in June, 1944 and are taken to Gestapo headquarters. The picture on the office wall of Rudolf Hess is out of place since he was considered a traitor in Nazi Germany after his mysterious flight to Scotland in 1941.
When Doug first appears dressed in SS uniform he fires his pistol at a life sized photo of Tony placed in a doorway, as the bullets hit Tony's head a wire used to trigger the explosive to simulate a bullet hit is briefly seen dangling out to the right side of Tonys head.
When the Nazi doctor brainwashed Doug, he apparently also taught him to speak English with a German accent.