Factual error: Robert begins as a SGT in the NYPD (later promoted to LT). However, he has issued speeding tickets in his brother's/parent's neighborhood. The family Barone lives in Lynbrook NY. Lynbrook is part of Nassau County, Long Island, which is not part of NYC. Robert would have no jurisdiction to issue speeding tickets there.
Factual error: It's Thanksgiving and Ray and Frank want to watch football. Ray's mother changes the channel to the Macy's Thanksgiving Day Parade. But these programs are not on at the same time. The parade always ends at about noon. The first game starts at about 1:00 and the second game starts at about 4:00.
Factual error: Robert's voyeuristic neighbors are using the same elevator as Robert does and tease him about seeing him and Amy through his bedroom window. But if they were able to see into his bedroom, they would not be using that elevator; it would be in another building. From the outside shot of his apartment building, it would be impossible to look into his bedroom.
Factual error: Robert, as a police officer in NY State, is bound by law to carry his weapon at all times. Robert is never seen with a firearm, not even when in uniform. A police officer would not have his sole sidearm strapped to his calf or ankle under his pant leg, making it hard to access in a situation where he would need to be able to draw it at a moment's notice.
Factual error: When they are in the bathroom in the bed and breakfast in Vermont, Debrah is complaining that she thinks she's boring and Ray answers that he ran out of things to say on the George Washington Bridge. You wouldn't take the George Washington Bridge from Long Island to Vermont.
Factual error: Ray, Gianni, Robert and Frank are watching a football game when Ray gets the call from Newsday to cover the Friday press conference for the Super Bowl that weekend. There is a 2 week break between the AFC/NFC championship games and the Super Bowl, so there would be no NFL game on TV at the time. There would also be no NFL game on during the afternoon on a weekday.