Continuity mistake: When Allabaster is chasing Hank in his car, he loses the front left hubcap from his car. Just as they go over the speed bump if you look at Allabaster's car when it is in the air for a brief second you can see the hubcap is back on the tyre (more visible in slow motion). Later we see the tyre again and the hubcap is off for the rest of the scene.
Continuity mistake: When Peggy & Hank are talking about Tammy whilst in bed, there is an outside shot of the house with light streaming out of one of the windows (the master bedroom). Yet when we see Peggy & Hank inside their room the blind for that window is down, making it impossible for the light to stream out of the window like it does.
Continuity mistake: When Peggy, Hank, and Tammy are in the car and Peggy says "We all make mistakes", her lipstick is a duller, orange shade, then it goes back to being red.
Continuity mistake: When Peggy and Hank are looking the mirror, as Peggy says "We look like a couple of movie stars", her hair is its normal reddish-brown color, but her reflection in the mirror has lighter, more dull brown hair.
Continuity mistake: As Cotton is trying to guess where he has seen Tammy before, you can see Tammy has one wristband on her right hand. In the next shot she now has two wristbands on that hand. After this shot it returns back to just one wristband.
Other mistake: After Alabaster says that he has a stable full of hoes, the screen shakes, as if someone bumped the camera.
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.