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
Deliberate mistake: Before Bobby takes the final spiritual test, you can see Connie is behind Bobby with her parents. When Bobby starts looking at the objects she has moved over to the right of Bobby nowhere near were her parents were before. This would have been deliberate for when he's taking the test he picks Connie in the mirror and this would have been impossible to do if she was right behind him.
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.
Factual error: When Nate goes to see Hank to show the incriminating photos of Bobby watering the lawn you can see Nate's car has orange tinting on his front headlight. Front headlights cannot contain any color tinting and must be clear. The car is an expensive looking car. I doubt he wanted to change the tinting of it either.
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.
Transnational Amusements Presents: Peggy's Magic Sex Feet - S4-E23
Other mistake: Hank is scraping his grill after grilling and charcoal briquettes can be seen in the propane grill. (00:07:38)
The Perils of Polling - S4-E25
Continuity mistake: Luanne's penguin puppet is on her right hand, then her left hand within a shot.
Continuity mistake: Whilst Bobby is talking to the other caddy about the ice blocking, Bobby is holding a coned ice cream in his hand. You can see he is holding a napkin around the cone below his fingers. In the following shot that shows a close up of his Bobby's face the napkin has moved up and is under his hand.
Continuity mistake: When Bobby is driving the golf cart, he is alone. However, when he stops the cart to invite a neighbour (also in a cart) to his party, you can see feet and knees of someone sitting in the rear of the cart.
Continuity mistake: At the end of the episode Peggy gives Bobby his birthday cake without any pieces missing from it or marks in the cake. However earlier in the episode, Bobby brings cake for Connie. It's doubtful that there were two identical cakes. You can tell this is the same type of cake because the cream on the top is the same shape and color Bobby brought to Connie.
Continuity mistake: Whilst Joseph is fixing his bike, there is a green mat next to it. As he starts to ride the bike the mat has now disappeared.
Other mistake: After Hank & Peggy pick Bobby up from the airport you can see part of the clouds through the windshield. One of the clouds you can see stays in the exact same spot whilst they are driving along the main road in the back windshield. It is a cloud because of the distinct color. It also couldn't be a sticker as you can see when they park the car at the restaurant there are no marks on the windshield.
Continuity mistake: When Bobby runs after Connie, (just before she gets in the truck with Joseph) you can see the front door of the Hill's house is open to the left. Even though in the shot before Connie runs out (and every other episode) the door opens to the right.
Deliberate mistake: When Dale calls Hank from John Redcorn's trailer, the wooden clock behind Hank (in the Hill's kitchen) has no markings or hands to tell what time it is. This is a mistake as it is the exact same shape and object as it was before this episode and I doubt they replaced the clock with an completely exact object as before. A side note on the mistake is that it may be considered deliberate as the clock in previous episodes is shown frequently in the background and will generally change between shots.
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.