The Hammer - S1-E10
Character mistake: Raylan Givens tells Judge Reardon that he carries a ".45 Glock" but this is untrue. Throughout the series with the exception of the beginning of the first episode Raylan Givens carries a Glock 17, which is only chambered in 9mm parabellum. His backup can be seen to be a Glock 26 which is also in 9mm.
Continuity mistake: Ava spills Coke on her blouse and creates a big circular stain. As she walks to the bathroom, the stain becomes a long narrow one. When she is leaving the pizza place, the stain is still narrow, but much shorter. (00:21:00 - 00:22:00)
Walker: You shot me in the back!
Raylan Givens: You wanted to get shot in the front, you shoulda run toward me.