At one point, a forensic scientist describes mitochondrial DNA as capable of being passed from father to son, which is impossible. Mitochondrial DNA can only be passed by females to their offspring. Men inherit their mother's DNA, but they are incapable of passing it along to their children.
When the detectives cuff Ray Gunther and tell him that he is under arrest for murder, they do not read him his Miranda rights. However, under Miranda v. Arizona (1966), law enforcement officers are only required to mirandize a suspect before they begin to question him in a custodial arrest situation. Mirandizing a suspect as he/she is being handcuffed is only used for dramatic effect in TV and movies.
At 33:57 when Benson and Stabler are interviewing Lorraine Hansen, a boom mic is momentarily visible top and center.
Captain Cragen tells the story of how Bobby Jones lost the 1926 US Open after declaring a penalty on himself that no one else saw, but that he was satisfied he did the right thing. In fact, Bobby Jones did declare a penalty, but went on to win the 1926 US Open.