Factual error: The Republic of Tunisia does not have mountains of the size seen when the hawk fights those who kidnapped the American soldier.
Power Broker - S1-E3
Factual error: Every guard in the prison has the emblems of Hamburg on his/her shoulders of the uniforms. Zemo is said to be imprisoned in Berlin, so they are wearing the wrong emblems.
Factual error: Walker has captain bars on his chest but is wearing lieutenant rank on his headgear in the photo. He is also missing the US Army tag on his uniform. Regardless of his actual rank at the time of the photo, the mix and match of rank and the missing Army tag would have been caught long before that picture was taken, especially with his friend in the photo being a sergeant major that catches uniform mistakes like that for a living. (00:34:58)
Chosen answer: The sleeve probably would have been ripped to shreds in battle anyway. He was just saving time by ripping it himself. Also, gunfighters would take off their coats in a duel or an arm wrestler rolling up his sleeve.