Plot hole: When Henry rings Maurice's doorbell to give the bad news about Sarah's fatal illness, Maurice and Sarah are upstairs in the bedroom. Maurice approaches the window and looks down while we see Henry looking up in his direction. That he walks away without trying to make contact makes no sense. (01:13:45)
Plot hole: When Archie and the others take the castle acting as Saddam and his guard two Iraqi soldiers come running out, passing by Archie and Chief, for some reason not looking at them and thus not noticing their American uniforms. (01:18:55)
Plot hole: Joan of Arc is called to save Orléans from the siege of the English. But if you look In the scene where we see a bird's eye view of the city, you will notice that there are no guards on its walls. A siege is the means enemy soldiers try to cut a city from its supplies and contacts. Those soldiers should be guarding it day and night, and sometimes even shooting arrows or rocks in it, until the city resigns. The siege we see at Orléans is nothing but a lonely catapult which shoots once a week.
Plot hole: Following Pellew's meeting with Lord Hood, he tells Hornblower that they had to get back to Plymouth as quickly as possible. The next scene depicts them at fleet landing in the Pool of London, with a number of battleships at anchor. Line-of-battle ships simply were unable come that far up the Thames. Should it have been intended to depict that they had, following a two-day trip via carriage to Plymouth, gone aboard the Indefatigable there, it is illogical for the French troops to march all the way to Plymouth. A quick glance at a map of Britain supports this contention.
Plot hole: As the Spanish fleet looms out of the fog, Hornblower is able to identify individual ships, a remarkable feat since every ship is wearing the same paint job.