Factual error: Sergeant Baxter seems to be the senior NCO of the company. There appear to be no company sergeant major or staff sergeants. This is very odd, but particularly odd in the Royal Military Police, which is very NCO-heavy.
Factual error: Major Markham is consistently referred to as the CO (Commanding Officer). As a company commander, he is actually the OC (Officer Commanding). In the British Army, CO is a title reserved for the commanders of battalion-sized units.