Green Thumb - S6-E10
Character mistake: When Kim is trying to convince Lisbon to help the FBI on their case, she says Jane stopped the ten-year reign of a mass murderer. Red John was a serial killer, which, by the FBI's definition, is a criminal behavior distinctly different from mass murder; he may have had a large number of victims, but he killed them either one or a couple at a time, with a cooling-off period in between, not all at once.
Days of Wine and Roses - S5-E11
Character mistake: Towards the end of the episode Patrick Jane plays a game of chess with himself. He moves the queen and states check mate. It is not checkmate, black knight would take the queen in the next move. It is in fact a flawed example of scholar's mate, something that someone of his supposed intellect and chess skills would not be rehearsing.
Character mistake: During the Texas Hold 'Em poker game, George Holiday says, "What do we have on 4th street here?" But there is no 4th street in Hold 'Em. That's a term for a stud variant game when the 4th card is dealt.
