When Harrison has left to find Jessica after she tells him she is going to speak to Jim, we see Harrison riding over a hill with a number of riders behind him. However, Jake and the other mountain men are in the group with Harrison, when they are actually in town having a beer at the tavern. This is because the scene was used from the final chase scene of the movie when everyone is in pursuit of Alistair Patton. Furthermore, when Harrison finds Jessica, he has only two other men with him when he says, "You two can head on back."
The final fight with Alistair, Jim's coat is sliced by Alistair's sword and there is a large bloodstain on it. In the subsequent scene in the bar when he is speaking with Jessica and Mr. Harrison he is wearing the same coat but there is no cut in the sleeve or bloodstain.
In the final fight between Alistar and Jim, Alistar draws his sword and prepares to strike Jim. As Jim is riding towards him, his left arm already has a blood stain on it before he's been sliced by the sword.
When the mountain men confront Jim and Jessica outside the hut, there is no smoke from the chimney. Jim follows Jess inside, gets his gun and heads out for the stallion. As he mounts his horse, there is a steady stream of smoke coming from the chimney.