The Soldiers in the film are shown wearing a newer version of the Army Combat Uniform (ACU) that was not yet available in 2005. The IR tabs on their shoulders are always shown to be folded under the pocket, but the original ACU had the IR tab itself on the outside of the pocket and had to be covered when not being used.
During Operation Market Garden, the US Airborne troops are shown being driven in trucks. However the US Airborne troops had no vehicles assigned to their outfits and therefore walked/marched off their landing zones in Holland, 1944.
At the end of the film, SSG Vogel is depicted as wearing a Combat Infantryman Badge (CIB), with a star on it. The star denotes a second award, meaning he would have had to have fought in the 1991 Gulf War (the criteria for the CIB does not award a second CIB for serving in both Iraq and Afghanistan), something he is far too young to have done.
When Staff Sergeant Vogel and the other soldiers are being flown out of the war zone in a C-130 transport, we hear almost no background noise. However, the C-130 is very loud (many passengers even choose to wear earplugs while flying in one).