Factual error: This movie takes place in 1880. Near the end, Luke has a "dead man's hand" with "Bee" cards which did not start being made until 1892 (which is why 92 appears on the spade ace in those decks).
Audio problem: When the baby is born Dallas shows it to the men and says "It's a little girl" but her lips don't move when she says this.
Other mistake: The trajectory of the arrow that hits Mr Peacock in the chest seems impossible.