Doc's sign that hangs on the wall at the bottom of the stairs, and was there in a previous scene, is missing when Matt goes rushing up the stairs. The dressmaker's ad is still on the wall.
At the beginning, when the outlaws go into the Long Branch, the head of one of them brushes the lantern that is hanging overhead outside the door. Later, Matt walks under it with plenty of clearance.
When Smith is first seen going into the Long Branch with the other outlaws, he is pretty much clean shaven. Since they've recently done a robbery, he probably wouldn't have stopped to shave. The next day, he has at least a few days growth of beard.
When Matt and Mr. Stoner find the horseshoe lost by the horse of one of the robbers they just toss it aside. In fact, they would have kept it to compare to the horse's other shoes and to see if the nail holes line up.