Bystand Me - S10-E2
Continuity mistake: While Hank, Peggy, and Bobby are asking for help picking up the papers with the dangerous ammonia and bleach recipe, a person in back of the group they are talking to that was originally wearing a dark red hat, red shirt, and blond hair switches to a pink, light blue shirt, and brown hair. A window also suddenly appears behind this individual, where there wasn't one before. (00:17:49 - 00:18:11)
Continuity mistake: Peggy Hill's mother seems to change over the course of the show. Prior to the ninth season, whenever Peggy's mother is seen (in the present or in flashbacks), she is portrayed as an older version of Peggy. In the ninth season's premiere episode, Peggy's mother is a lean, leather-skinned rancher who disdains Peggy and lives on a secluded ranch. The change in facial features and appearance is too much to just be a change in style as well.
Continuity mistake: In this episode only, Hank admires his father and defends, or dismisses, most of Cotton's bad qualities. As Peggy says: "You just cannot see your father for who he is." Throughout the rest of the series, Hank and Cotton's relationship is tense and unpleasant. In the episode "The Father, The Son, and JC" (Season Six), Bobby can't even find an old photo in which Hank and Cotton are both happy.
Continuity mistake: When Leanne first arrives, she kisses Luanne, and gets red lipstick marks on her. Later, when Leanne and Luanne are near the bathroom and Leanne says "I knew you would understand" (about Bill), she kisses Luanne, but there are no marks from her lipstick. Even if she mostly kissed Luanne's neck, at least part of some of the marks should show when Luanne turns to leave (after talking to Peggy).
Gone with the Windstorm - S9-E13
Continuity mistake: Just after Dale, Nancy and Peggy get past the police blockade in the news van there is an overhead shot of the van and you can see Dale doesn't have his fake moustache on anymore. The next shot he is taking off the fake moustache.
Continuity mistake: After Hank and Bobby return from La Grunta, Hank parks the car halfway into the garage. Yet when Peggy washes the blood from the deer off the front of the truck, the truck is now on the driveway and not near the garage. (00:20:20)
Continuity mistake: When Hank is barbecuing and turns the steak over, there are four burgers on the grill. When he tells Bill that the steak is for his father, there are only three. (00:02:50)
Continuity mistake: When Hank takes Connie to the doctors, he is in the waiting room. After Connie and the doctor come out they open the two doors and stand in front of the doors. Towards the end of the scene as the doctor is about to leave them, they have all moved far a short distance from the left of the doors.
Next of Shin - S3-E5
Continuity mistake: As Hank is having his discussion with Cotton in the Casino you can see Cotton's red (playing) chips in front of him. In one shot Hank stands up and the angle shows Cotton from over Hank's shoulder and the red chips look black and badly damaged. The next shot from the same angle the chips are back to being red and completely fine. (00:19:55)
Continuity mistake: In the scene when Lane Pratley comes into the woman's changing room after the first game he is holding the player's cheques by his waist. When the shot changes to a closeup of him the cheques have instantly moved to Lane holding them next to his chest.
Continuity mistake: Connie was shown wearing blue/green sneakers when the kids entered the cave but when they wanted to leave she had her flip-flops on, and then the sneakers again for the rest of the show.
When Cotton Comes Marching Home - S5-E5
Continuity mistake: When Cotton is trying to use the circular saw on the car dealer, the extension plug it's connected to gets disconnected around half way onto the alley road. The next shot its moved to just past the driveway, and the following shot it's now moved to about halfway down the driveway.
Continuity mistake: Bobby takes a bite of his brownie and leaves most of it on his tray when he starts to get up and the teacher comes over to talk about his attitude. A few seconds later, when he and Joseph start slamming their trays on the table, the brownie is gone. (00:17:45)
Continuity mistake: In the scene where Bobby is in the closet, he takes off his shoe.When Hank walks in and pulls him out, Bobby's shoe is back on.
Continuity mistake: Before Hank fires Leon he is seen in the showroom foaming from the mouth and there is a door to his right. In the next shot when Hank is being talked to by Mr Strickland, there is now a bulletin board to Leon's right and the door has disappeared.
Continuity mistake: When Peggy is leaving for her guitar recital, she is getting in the car and is wearing a pink sleeved shirt. Then there is a quick shot from behind the car, when Peggy is getting into her car, but her shirt is now a sleeveless green one.
Next of Shin - S3-E5
Continuity mistake: Before Cotton puts down "8 the hard way" on the craps table, there is a beer on the table next to him. After he loses, he gets onto the table and you can see the beer has disappeared and he is not holding it. Even in the final shot through the security camera monitor, the beer is nowhere to be seen even on the floor. Also, Hank was holding a beer before Cotton leaped onto the table and in the security monitor footage he has not put it down on the table and is not holding it as he puts both hands on his head.
Hank and the Great Glass Elevator - S5-E11
Continuity mistake: When Hank & the guys are talking about mooning from the glass elevator, Hank is positioned with his back next to the wall as he is sitting at the table. When Dale says his high school mooning was the best thing he ever did it. It then shows Hank and he says, "The vice principal gave you a week's detention" and is now sitting away from the wall with his back to a group of men in the opposite table.
Continuity mistake: In the episode where porn videos are being sent to Hank, there is a close-up shot of a machine printing out address labels for Hank's house. These labels say 320 Rainey Street. However, in this episode, when Peggy is looking at the mail, all of their mail has 84 Rainey Street as their address. In several other episodes, the address is stated to be 123 Rainey Street.
Husky Bobby - S2-E6
Continuity mistake: Backstage at the fashion show, Andie uses his bag to knock Bobby's bag off of the makeup counter. When Andie sits down and tells Bobby to go get him a brownie, both bags have disappeared.
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.