Continuity mistake: As Hank is calling Peggy's mother to tell about the delay there is a sign above the telephones that says "TELEPHONES". When he hangs up the sign now says "TELEPHONE".
Continuity mistake: Luanne in one scene tells Hank a man asked if she would like to join the mile high club and when she tells him she is facing Hank. In the next shot she is standing in the same position but has turned around and is facing away. There was not enough time for her to move between shots.
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.