When Andy closes the blinds when Dud is looking through the window of the Sheriff's Office, the blinds hit Dud on the nose, revealing there is no pane of glass.
Obvious stunt double for Barney when he's riding the white horse around in a circle while yelling, "East to West! East to West!"
When Andy helps Barney mount the horse, a crew member's hand can be seen in the lower right corner holding the reins.