Continuity mistake: When the soldiers are ambushed by the Germans, they jump off and Jack Kelly is wounded in the arm, showing a torn shirt and bloody arm. Later when Audie Murphy is wounded and in the hospital Jack Kelly visits him. The only bandage on him is on his hand, which wasn't injured before.
Factual error: All the troops in the Fetterman massacre are cavalry. In fact, the majority of the detachment, including Fetterman himself, were infantry.