Continuity mistake: Dennis walks up to the computer to see the guy claiming to be their father carrying nothing, he puts his empty left hand on the bar, but when the shot switches he is holding a coffee in that hand. In the shot right before the opening credits the coffee is gone again.
Other mistake: In the opening of this episode the screen reads "3:50pm On a Wednesday." When Gino (Frank's brother) is reading the letters meant for Shadynasty, he says "Meet me at the airport, Friday, at 5:00, Terminal C." The gang and Gina then go along to the airport that very afternoon - a Wednesday - to try and meet Shadynasty and get her and Frank back together. And of course she is there, despite it being a Wednesday, not a Friday.
Continuity mistake: When Frank, Charlie, and Dennis are in the cop car at the red light, they're on a one-way street, with cars parked to their left (facing the same direction as the cop car). However, when it cuts to Frank, we see a car drive by in the opposite direction, and the parked cars are gone.
Continuity mistake: When Dee is standing up she is smoking a cigarette with her right hand. When the shot comes back to her as she cuts Charlie's joke off, the cigarette has disappeared and the bottle of whiskey has left the table and is in her right hand.
Continuity mistake: When Dee tells the gang someone is contacting her claiming to be their dad, only one coffee cup is next to Dee, on the side closest to Mac. She lifts that cup and puts it towards her lap, but when the camera shows the computer, the cup is back and another cup is on the other side of the computer. When the camera zooms out both cups are gone again.
Continuity mistake: While Mac is holding the picture of himself to Dennis & Dee, towards the end of the scene he is holding the picture with one finger around the middle on the top edge. Dennis then says "You're going to hell". The next shot he is holding the picture by its side with two fingers.
Revealing mistake: During the training montage, right as Mac is about to smash the bottle over Charlie's head, you can see Charlie stop what he's doing about a half-second before being hit, and brace himself for the impact, despite not being able to see it coming. This is confirmed on the DVD commentary.
Continuity mistake: At the very end, while the gang is reading the new review and then talking about how their names weren't mentioned, a hammer appears on the bar between them, only to disappear a few shots from the end; Charlie then retrieves it from under the bar as they leave.
Revealing mistake: During the scene where Dennis and the Waitress, Mac and Dee successively walk into the back office to talk to Charlie near the beginning of the episode, in some of the shots, you can see outside the office door, and you can see the top of the set has no ceiling, and even see part of a stage-light.
Revealing mistake: When Liam is stabbed in the arm, as he turns around to walk away, you can see the outline of his real arm wrapped behind his back, under his robe for about one full second, revealing that the arm he was stabbed in was a fake prop-arm.
Continuity mistake: In the scene when the gang opens the trunk to reveal the first kidnap victim, Sweet D is wearing black nail polish. The next scene in the apartment her nails are not black anymore. Then in the next trunk scene with the second victim they are black again.