Plot hole: It makes no sense why the producer has not got Hank to sign a release form or even talked about it. Throughout the episode Hank is upset by the fact that Dusty's reality show is featuring him. While Hank might not be aware of a release form, the producer would be fully aware if Hank did not sign one all the footage and most of the show would be unusable. Being that Hank was so against the project, this would also make it a riskier move.
Lucky's Wedding Suit - S11-E12
Plot hole: In the previous episode, Bill had completely bulked up and then suffered a ruptured rectum, which would sideline him for six months. He remarks that by the time six months pass, all his muscle growth would be gone. This episode shows him to be back to his regular physique, and given the fact that it was established earlier in the season that Luanne was pregnant, the fact that she has no visible baby bump (her belly is still completely flat) suggests six months have not passed, meaning Bill could not have reverted to his flabby physique so quickly.
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.