As One Flew Out of the Cuckoo's Nest, One Flew In - S4-E1
Character mistake: Near the end of the episode Danny refers to the money they have stolen, saying "Stacie is sitting next to half a million big ones." Anyone familiar with grifter slang knows a "big one" is a thousand dollars (or pounds, etc.) - certainly Danny Blue would know that. He just said that they have half a billion dollars in their hands. Not a mistake Danny Blue would make.
Getting Even - S4-E3
Plot hole: At the end of the episode, having conned Veronica Powell out of £600,000 - the purchase price of the house and contents they sold her - Danny taunts her by telling her that they did nothing wrong, implying that she has no legal recourse to recovering her money. He's wrong. One of the gang, Billy Bond, bids against her in the auction for the house, boosting her bid from £220,000 to her final offer of £600,000. Bond has no money and no access to any, and no assets that could be realised to cover the bids he made, something that would be easy for a lawyer to prove. It's called shill bidding and it is very illegal indeed. Since Bond and Ash Morgan (who gave Powell false information during the auction, spurring her on to bid against Bond) are both standing next to Danny when he makes his announcement I find it hard to believe that a shrewd, hard-hearted businesswoman like her would not realise that she had been conned and would not get her lawyers and the police on the case on the spot.
Getting Even - S4-E3
Character mistake: Albert tells Ash that during his service in the UK with the U.S. Air Force he was required to join a squad flying back to the United States in a "B29 Fortress." The B29 Superfortress was not used in the European theatre during World War 2 - it was used exclusively in the war against Japan in the Pacific. The B17 Flying Fortress was a different aircraft. Anybody in the US Air Force at the time would know the difference, and it is not a mistake a veteran would make.
Factual error: The guys supposedly stole $5million. The largest US bill is $100. This means there would be 50,000 bills. $5million weighs 110lb. They would not have got that into a guitar case, far less Albert being able to carry it that easily.