When Lacey is in the cell, she's sitting on the cot facing away from the cell door. For all other times that cell has been used, the cot is up against the wall so that no one could sit like that.
The newspaper in Dodge City KS in the 1870's was the Dodge City Times. Matt Dillon is seen standing in front of a building that is supposed to be the Dodge City Bulletin. There's no record of a newspaper called the Bulletin.
While Lacy's mother is putting food on a plate and Lacey and Jess are standing near her, the shadow of a boom mic is moving back and forth on the left side of the screen.
Matt complains to Ma Smalley about her leaving Lacey's door unlocked, but then he leaves without locking the door.
At the end, Matt doesn't seem to be in any hurry to go help Ma Smalley after Lacey told him that she had tied her up.