Continuity mistake: When Peggy tries to sell Dale the Metalife products she is just passing the fence (at the bottom of her driveway). In the following shot we her cart is in the middle of the road. The change of shots there was not enough time for her to have made that distance from the end of the driveway to the middle of the road.
Continuity mistake: Bill picks up the case of Metalife products to put them in his car. After discovering he has a blister he picks up the box and the logo on the box is facing the left-hand side. The next shot it's changed to the front of the box. The change of shots was instant so there was no chance he could have turned the box around.
Won't You Pimai Neighbor? - S4-E18
Continuity mistake: After Bobby takes the first spiritual test, Minh and Kahn come behind Bobby. Looking at Minh's hair and the top of her dress are both very wet. However before this she was completely dry and there was no scene where water was sprayed on her. She stays wet for the rest of the scene probably indicating that there is a scene deleted from the episode as it is far too obvious to be missed.
Won't You Pimai Neighbor? - S4-E18
Continuity mistake: In the scene at the "Get In, Get Out" shop, Connie and Bobby's drinks have each have a bendy straw. When Connie is walking off they have changed to normal straws as you can see the marks of bendy straws have disappeared.
Won't You Pimai Neighbor? - S4-E18
Continuity mistake: At the beginning of the episode, Kahn gives the guys in the alley invitations for his Pimai party. As Dale opens his invitation he places the envelope in front of the invitation he is holding. The next shot they have reversed position with the invitation in front.
Won't You Pimai Neighbor? - S4-E18
Continuity mistake: As Hank and Bobby are leaving the reverend's office, Hank puts his hands on Bobby's shoulders and is at an angle away from the reverend. In the next shot from the reverend's angle we can see he is facing her and the position has changed from the previous shot.
Won't You Pimai Neighbor? - S4-E18
Continuity mistake: When Hank looks at his invitation he reads the writing in it. The next shot you can see the writing on the card as if Hank had turned the card over pointing towards the ground. However there was not enough time between shots for him to have turned it around.
Continuity mistake: When Dale is talking about getting the silver medal, you can see that on the wall, near the bed, there is a wind catcher. Once Nancy says "If you say so, I was pretty drunk", the wind catcher disappears.
Continuity mistake: When Dale knocks John Redcorn the shape of the lamp he's holding changes between shots. The shape you can see changes between the shot of Dale knocking him out and the next shot that shows a wide shot of the people in the room. The other mistake in the shot is when Dale drops the remaining part of the lamp. Despite dropping it from about chest height the remaining part doesn't break when it's dropped.
Continuity mistake: Before the final board and zoning meeting finishes at the end of the episode, there are a number of people in the audience and a stenographer. As Hank is leaving they have all gone. It would have been near impossible for the entire room to vacate that quickly as less than half a minute had passed between seeing them and the room being completely empty.
Continuity mistake: As the plumbers are installing Hank's new low flow toilet, the guy with the red hair stands up and is at level height with his co-worker standing next to him. In the next shot he is now a few inches taller.
Continuity mistake: During the first (or the second) Board & Zoning meeting, there is a jug of water next to Nate. In the wide shots of the board the handle is to the left but in the close ups of Nate it's now facing the right.
Continuity mistake: As Hank is telling Bobby off about stealing the water you can see that Bobby's closet is behind Hank. Its position in this scene is opposite the bed. However in every other episode is in front of the foot of Bobby's bed.
The Perils of Polling - S4-E25
Continuity mistake: Luanne's penguin puppet is on her right hand, then her left hand within a shot.
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.