Continuity mistake: When Hank is barbecuing and turns the steak over, there are four burgers on the grill. When he tells Bill that the steak is for his father, there are only three. (00:02:50)
Continuity mistake: Bobby takes a bite of his brownie and leaves most of it on his tray when he starts to get up and the teacher comes over to talk about his attitude. A few seconds later, when he and Joseph start slamming their trays on the table, the brownie is gone. (00:17:45)
Continuity mistake: In this episode only, Hank admires his father and defends, or dismisses, most of Cotton's bad qualities. As Peggy says: "You just cannot see your father for who he is." Throughout the rest of the series, Hank and Cotton's relationship is tense and unpleasant. In the episode "The Father, The Son, and JC" (Season Six), Bobby can't even find an old photo in which Hank and Cotton are both happy.
Answer: If you are talking about the "Thou shalt not do this, thou shalt not do that" song, I'm not sure if a song like that actually exists. Green Day, the guest voices on the episode, might have just been improvising to keep their appearance from being too obvious.