As Quint did a number of episodes ago, Matt tells someone that the Dodge House is the only hotel in town, but there are a few others, just not as big. This is confirmed at the end of the episode. When Dakota leaves the Long Branch and heads to Sara's dress shop, two other hotels are seen.
When in the saloon with Clowdy, Jack Dakota is harassed by James Best' character and grabs Best' gun, firing six rounds into Miss Kitty's floor. The gun Jack uses is obviously a double action revolver which were not available in those days. Single action colts were all they had. Double action revolvers weren't available until after the turn of the century.