At around 1hr2mins a 'witch' drops a grenade between her and a soldiers feet and it goes of as soon as it hits the floor, this wouldn't happen as the grenade has a fuse of between 5 and 7 seconds so it can be thrown at a target without killing the thrower.
At 35:12 when Sarge checks the semi-dead officer's identification, he states, "It's Captain Rice, USAF." While the dog tags he examines are historically correct design, they would not contain the branch of service and the United States Air Force did not exist in World War II. It was created as a separate service in 1947. Captain Rice would have been a member of the United States Army Air Corp.