Deliberate mistake: For dramatic purposes, the crew is shown surviving for several days. The investigators found evidence that the fire in the compartment occurred around six hours after the Kursk sank, and that the survivors had died before the first rescue attempt took place. They wouldn't have been saved even if the multinational team had been called in sooner.
Factual error: When the saturation divers open the outer hatch on Kursk, they drop a glow stick. When they do, it falls to the floor on the submarine, indicating the inner hatch was open. The inner hatch of Kursk was closed, later opened by an ROV.