Continuity mistake: When they go to find Private Ryan there are eight of them, when they go to a French town and a solider picks up the little girl and he gets killed there are seven, right? Wrong. A few scenes later, the camera shows all eight of them marching on to the next town, only in a far away camera shot so it's hard to see. (01:23:11)
Plot hole: Alain joins the Legion, goes through extensive training and eventually gets his photograph taken. That's how Galgani recognises him and sends two men to kill him. They arrive with a platoon at the fort just after Alain, Mackintosh and Luther. The photograph would have taken a while to get back to France and then the two men would have to go through the same training. So how do they both end up in the same fortress after they joined the legion long after Alain?
Factual error: When Pellew engages the first French warship, he gives the order to his helmsman, "Hard to Larboard". In the 18th century, helm orders were given in relation to the position of the tiller, rather than the rudder. A helmsman would push a tiller in the opposite direction he wanted the vessel to turn. This practice continued even when a ship was steered by a wheel, so the man at the wheel would have turned the wheel to starboard..except that he didn't.