Revealing mistake: At the start, when Arthur returns the book to Carrie then asks if she'd like to jot down his musings, we can see through the back door's window, and the backyard set's foliage pattern wallpaper is falling off the backdrop. It's visible later as well. (00:02:45)
Revealing mistake: When Doug runs into the phone when trying to deliver Carrie's package, it's very clear he doesn't touch the phone with his head.
Strike One - S3-E5
Revealing mistake: In the kitchen, when Doug tells Carrie he knows the strike will end in 1 or 2 weeks tops because he's a Union Member, the blue shelves/cabinet on the wall behind Doug are positioned properly. Then, when Carrie asks him what the strike issues are, watch as the blue shelves move sideways behind Doug (this wall with blue shelves/cabinet is hinged to provide camera access). (00:13:00)
Revealing mistake: When Carrie leans on the fence to hide from the Saskeys, the fence moves. Fair enough Carrie is not a professional carpenter and has put the fence up in an afternoon. However, Tim, explains that the fence is not likely to fall due to how well Carrie has built it. (00:06:00)
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.