Visible crew/equipment: Throughout the whole series stage lights can be seen reflecting in the kettle on the Heffernan's stove, as well as on the green dish on a shelf by the kitchen window.

Continuity mistake: At the store, Doug picks up 5 or 6 bags of sweets. Most noticeable is 2 yellow bags. Camera cuts and they have disappeared. (00:01:05)
Continuity mistake: When Carrie confronts Arthur about looking in her bag, her bra strap is slightly hidden by her top. Camera cuts to a front view of Carrie then back to behind her. Now her bra strap has moved and is totally visible. Carrie never touched it during this time as we see her hands. (00:12:25)
Continuity mistake: The piano in the living room is ebony in the beginning of the episode. At the end of the episode the piano is brown.
Fixer Upper - S1-E12
Continuity mistake: When Spence realises he's eating peanuts, he steps behind the bench he was sitting on, but in the next shot he is in the front of the bench. (00:08:30)

No Orleans - S4-E16
Continuity mistake: Doug made a blue snowcone in the kitchen and then goes into the living room to talk to Arthur. When he crosses the door in to the living room, the initially full snow cone is now almost gone. (00:02:05)

Visible crew/equipment: When Doug and his friends are moving the TV back downstairs, in the first shot just as Spence announces his finger is getting crushed, a camera operator with camera are visible on the left side of the screen. (00:12:45)
Visible crew/equipment: At the end of the episode when Carrie and Doug are arguing about her letting him win a ping pong game, all the windows over the bed are closed, they leave the bedroom to go play a rematch, when they return to the bedroom Carrie starts pushing Doug down on the bed and the middle window is open, as they lay down further you can see someone swing the window shut. (00:27:00 - 00:28:00)
Continuity mistake: The Saskeys are Doug's neighbors in this episode despite them having moved away back in the season 2 episode "Soft Touch" (00:02:30)
Visible crew/equipment: When Holly walks in at the start, a tape marker is visible on the floor. (00:09:10)
Mean Streak - S4-E3
Continuity mistake: When Doug is talking O'Boyle about the old guys, the time on the clock goes back. (00:05:30)
Deconstructing Carrie - S7-E15
Continuity mistake: In the kitchen when Arthur says he was a terrible father and gets up, Holly looks over at him with her hand on the edge of the table. She says, "Oh no", but then she's smiling. When the shot changes angle, her arms are crossed. Then Holly says, "Better than my dad, who was too busy chasing the almighty bottle of glue", her hand is instantly on the box of photos again. (00:11:35 - 00:12:05)
Shrink Wrap - S4-E25
Continuity mistake: In the scene when the therapist asks Arthur to recall a specific incident about not being heard from his childhood, he is playing with his pen cap. The shot cuts and he is instantly holding his note pad with both hands. (01:35:40)
Continuity mistake: At the accident scene when Deacon asks to have a picture taken with him and Doug, the same couple walks by three times. (00:05:30)
Continuity mistake: When Doug is putting lipstick on Carrie, the way she is holding her arms changes between shots (crossed then uncrossed). (00:14:50 - 00:15:40)
Continuity mistake: When Doug and Richie are waiting for Spence at the pub, there is a pepper shaker in front of Doug's beer that disappears and reappears. This happens again again after Spence arrives and Rickie is making fun of him. (00:04:15)
Silent Mite - S7-E7
Continuity mistake: In the final scene where Arthur raises his ornament on the Christmas tree, the kitchen door is closed behind him. In the next shot looking out from the kitchen, the door is already open as Arthur walks forward and through it. (00:21:15)
Continuity mistake: When we first see Doug at the gym, the sweat stains on his shirt keep changing size. (00:11:30)
Queasy Rider - S2-E1
Revealing mistake: When Carrie and Doug are in the garage arguing about the bike, there is a shot of the fridge where tyre marks and a dent are visible. However we later see Doug make these marks. (00:09:00)
Answer: Sara hasn't been mentioned in later episodes, and it suggested in later episodes that she never existed, and that Carrie is an only child. Kevin James stated that the producers couldn't think of an good plots to use with Sara, so they left her out.