Love Hurts and So Does Art - S3-E18
Plot hole: There's no reason Hank or Peggy can't call the deli owner and tell him not to sell any more food to Bobby once he contracts gout.
Suggested correction: Bobby has generally earned his parents' trust. He might get into trouble occasionally, as many pre-teen boys do, but not so much that Hank and Peggy need to cover all the bases. They believe that he stopped going to the deli. As Peggy tells Connie, "He is doing everything he can to get back on his feet in time for that dance."
Plot hole: As Bill goes to get another beer from the cooler box, he raises the door and a raccoon pops out. The only problem is there is no conceivable way it could have got in without one of them noticing or shutting the door on the cooler. They would have had to close the cooler before bringing it out and the size of the raccoon would have been hard to fit in the box along with the beer without someone noticing. Even if the raccoon had sneaked in the box before or after they brought the cooler out without anyone looking I don't think the raccoon would have been able to get in and put the door back on.
Plot hole: As the guys are checking out the vacant house inside, they are surprised to see it has a pool. However the problem with this is its right next to the driveway in the front of the house, in the open with no fence in front of the driveway so it would provide a clear look through from the alley. As they state they never noticed it in 18 years living there, yet walking up and down the alley it's a bit hard to imagine being that open and they never saw it. Even the final shot (aerial shot) at the end of the episode we see it was far too obvious for them to have never seen in that space of time.
Plot hole: After the old guys take Hank's clothes & throw him over the fence at the Alamo, Hank goes right into the building without having to unlock the door. Despite the fence being locked up, it seems a little odd that such an historical monument like the Alamo wouldn't have its main door locked.
Plot hole: As Dale comes to Hank's work and talks to Hank about the gun incident he has a spray pack on his back that is filled with poison and by accident sprays Joe Jack. Yet in the episode "The Exterminator" Dale was told by the doctors that he would not be able to use any type of hazardous chemicals with bug spraying as his lungs wouldn't be able to handle the fumes any more. Even if he ignored the advice the chemicals would have at least incapacitated him or killed him.
Returning Japanese (1) - S6-E21
Plot hole: In this episode, Hank meets his paternal half brother. They look alike. However, we saw in an earlier episode that Hank's facial structure takes after his mother, not his father. Since they are paternal half brothers, then the Japanese brother cannot look like Hank since he has a different mother.
Plot hole: Amazing that neither Hank's mother nor father ever saw the bandage on the back of his head, peeled it off, and would discover his tattoo.
Death Buys a Timeshare - S9-E3
Plot hole: During a heatwave, the Hills are dying from the heat and even look for a pool to swim in to cool off.This makes no sense, they live in a ranch house which would have central air or at worst some window air conditioners.
Plot hole: Bobby teaches Peggy to ride a bike, but previous episodes show Peggy riding a bicycle, and once she rode across the entire town.
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.