Continuity mistake: Whilst the guys are waiting in the alley for Hank to get back (before Boomhauer leaves) you can see the backhoe is behind Boomhauer. When it changes to showing the empty street from their point of view, the backhoe is now down the street. The following shot its back to behind Boomhauer.
Continuity mistake: When Hank goes to buy an "L pipe" at the Mega Lo Mart, his truck is parked in the middle of the parking lot and nothing in between the middle of the cars. As Hank is about to leave in his truck there are concrete blocks ahead of his car (with a sidewalk next to them). Also if you look at the car behind Hank's truck before he is about to leave it is a white color. Whilst he is reversing it is now a dark blue color.
Continuity mistake: In the scene where Bill is trying to open the beer can with the back hoe, he rips up the pavement with it. As Hank sees the mess he gets in the machine and pushes the pavement back that Bill tore up. When Boomhauer comes along you can see his foot falls into the hole and gets stuck even though Hank pushed it back. Also if you look the soil Bill dug up has disappeared when Boomhauer comes along.
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.