Hank's Got the Willies - S1-E4
Continuity mistake: When Hank is talking to Peggy in the kitchen about his guitar, she is pouring herself a mug of coffee. While the mug is on the counter, it is solid white, but when the angle changes, there's a big pink heart that appears on the mug. (00:03:40)
Hank's Got the Willies - S1-E4
Continuity mistake: In the kitchen, Hank tells Peggy he's going back to bed and asks if she's coming. She says no, and during this moment she's holding her coffee mug by the handle, but in the next shot she has her fingers through the handle, holding the mug itself. Also, the heart on the mug moves, and a red sugar container appears in her other hand. (00:03:45)
Answer: Jeffrey Boomhauer is a Texas Ranger as can be seen in the final episode at the end when he sets his wallet down, it flips open revealing a Texas Ranger badge.