Continuity mistake: In the bootcamp scene where Captain Sobel is yelling at Private Christenson for drinking from his canteen, you see a machine gun resting on Christenson's right shoulder. When the camera angle changes to behind Christenson, the machine gun has suddenly moved onto his other shoulder. This happens quite a few times in this particular scene.
Factual error: David Webster is shown to be training as part of Easy Company and is present among their number when Lt Meehan informs them that the invasion has been postponed. Webster actually trained with Fox Company and made the jump into Normandy as a member of the Battalion Headquarters Company. He transferred to Easy Company after D-Day.
Character mistake: In the scene where Captain Sobel is inspecting the soldiers at the beginning of the episode, he goes up to Sergeant Lipton and notices something wrong with his chevrons. Well, in that part, Sergeant Lipton is not standing correctly in the position of attention because he is sort of slouching and his head is in front of his shoulders and the correct position of attention is standing straight up and having your neck behind your shoulders. If he was in the real army, he would have gotten a punishment for not standing at the correct position of attention.
Factual error: In the scene at the end of Part 1 where the aircraft are taking off on June 5 1944, as the camera pulls out to show the many aircraft rolling down the tarmac, the first aircraft shows the pilot wearing a pale green headset remarkably similar to a David Clark headset. However, the Clark company didn't start producing headsets until after the war.