During WW1, there were many disfigurements and many people who faught and had their face disfigured had masks and covers put over their faces most tailored to the type of disfigurement they were inflicted. Some had them painted to their skin colour, some were fine with having it white. The guy with the mask is high ranked considering the early stage that BFV represents of the war, so the mask is not very far fetched at all. Ever see Richard Harrow in Boardwalk Empire?
The female fighter is clearly partisan French who wore what they could to cover up and blend in. Jackets aren't out of place at all.
As for the guy in the Xmas outfit. I got nothing. It's just fucking stupid.