Plot hole: As Bill goes to get another beer from the cooler box, he raises the door and a raccoon pops out. The only problem is there is no conceivable way it could have got in without one of them noticing or shutting the door on the cooler. They would have had to close the cooler before bringing it out and the size of the raccoon would have been hard to fit in the box along with the beer without someone noticing. Even if the raccoon had sneaked in the box before or after they brought the cooler out without anyone looking I don't think the raccoon would have been able to get in and put the door back on.
Continuity mistake: When Bobby and Hank are in the pet store looking around, there are some red & white bags of dog food. Hank then asks the store clerk how much it costs to put a photo of Ladybird on a mug, and the color of the bags has changed. One of the bags is orange and white, whilst another is yellow and white.
Continuity mistake: During the scene in which Bobby shares his Hungryman dinner with the raccoon,the food in the left of the tray is a white color. As the shot shows the raccoon eating, it's bright yellow.
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.