A Beer Can Named Desire - S4-E6
Continuity mistake: After Violet has introduced herself to Bill you can see she has Joubert & Lilly to her right and in front of Bill. The following shot she has moved away from Joubert and is next to Bill's right side.
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.
Love Hurts and So Does Art - S3-E18
Continuity mistake: In the medical center as Peggy is filling out the forms there is a sign above Peggy's head. When the shot change to where Hank is taking Bobby into the doctor's office, the sign has moved to a bit below Peggy's head.
Three Coaches & a Bobby - S3-E12
Continuity mistake: As Coach Sauers is quitting the shoe store, he rips the whistle off his chest and breaks the neck rope and bangs it down on the counter. When the clerk returns the whistle to him and drops it in his hand, the rope is not broken, as you can see the loop on the rope when it drops. (00:06:50)
Character mistake: Hank talks about watching the Broncos vs the Cowboys in Super Bowl XIII. This is incorrect. They played in Super Bowl XII. Super Bowl XIII was the Cowboys vs the Steelers.
De-Kahnstructing Henry - S3-E13
Continuity mistake: When Hank hands Minh the money for Bobby's lessons, he's wearing a watch on his left wrist, but when Kahn storms out of the house Hank's watch has vanished. (00:14:45)
Character mistake: Ben Stein asks a chemistry question about -273° Kelvin. The problem is, the scientific community never uses the word 'degrees' when referring to Kelvin. The correct way to say it would have been, "-273 Kelvin is also known as what?" Also Kelvin cannot be negative since 0 kelvin (approx -273° Celsius) is absolute zero.
Continuity mistake: As Hank is calling Peggy's mother to tell about the delay there is a sign above the telephones that says "TELEPHONES". When he hangs up the sign now says "TELEPHONE".
As Old as the Hills (1) - S3-E25
Continuity mistake: Before Cotton asks Didi for a cigar she is wearing a pink dress over a light purple shirt. Whilst she is lighting the cigar she is now wearing an orange top.
Little Horrors of Shop - S4-E4
Continuity mistake: Later in the episode, the students go over to Hank's garage to finish some of their class projects and gather around the workbench about halfway through the scene. Between shots some of the kids change positions including Joseph and one of the kids in a pink shirt.
Continuity mistake: As Hank is telling Bobby to give his speech at Thanksgiving everyone moves in around Bobby. If you look at Bill he comes in from the right even though he was on the standing to the left of Bobby in the previous shot.
Continuity mistake: While Hank is reminiscing about the car with his father he is in the garage and does not realise he is being filmed by the cameras. The following scene, the filming crew is watching the footage in the truck and the shot shows the camera angle is now different and would only be possible if Hank was standing in the alley outside his house.
You Gotta Believe (In Moderation) - S10-E7
Continuity mistake: As Ace hands back the giant cheque at the end, take a look at the 'pay to the order of'. It reads "The Winners" but in the next shot it reads "The Winner's".
Gone with the Windstorm - S9-E13
Continuity mistake: As Hank jumps out of the closest to scare the boy that is scaring Bobby, we see the contents of the cupboard as well. We see a shelf with a large number of boxes. Clothes rail with many clothes hanging on it. Finally an assortment of objects on the ground. When Hank leaves and the father is wondering where his son has disappeared to we see inside the cupboard again. Everything including the shelf, clothes and clothes rail have disappeared. The only thing remaining is one small box in the left corner.
Little Horrors of Shop - S4-E4
Continuity mistake: After Hank has been made to take forced leave from work, there is a shot of the house and the background you can tell by the color the sun is rising. In the next shot when Peggy is pretending to conduct in the kitchen with the kitchen utensil you can see a blue sky outside the kitchen window. There is no way the sun rose that quickly in the space of a second.
Continuity mistake: In several episodes, the color of Alamo Beer that Hank, Dale, Boomhauer, and Bill drink, changes color. In "Uh-Oh Canada" the beer is yellow, but in "Death of a Propane Salesman" when Hank pours the beer into a glass, it is brown.
Other mistake: When Hank runs into the building to hide and lays down in the square of moonlight on the floor, he looks up at the window and a couple of clouds pass by. The clouds move too quickly, and when Hank is shown again, no shadows from the clouds move across him.
A Beer Can Named Desire - S4-E6
Continuity mistake: Toward the end of the episode Don Meredith takes Hank to the Superdome to try throwing the football into the Alamo beer can. After Hank makes the throw they walk to the football rack and Don picks up one of the footballs from the rack. We can see the top shelf has two footballs with the laces on the ball not visible. As they leave we can see on the same angle, there are three balls on the top shelf with the laces visible on all three balls.
Hillennium - S4-E10
Continuity mistake: In the episode we see the door to the boiler room (where Peggy's computer is) the door opens outwards into the hallway. Later in the episode she comes in to the room to check on some of her printings she was doing overnight. In this scene she opens it inwards. This wouldn't be possible as the door has a knob meaning it wouldn't be a two-way door.
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.