Executioner - S18-E9
Factual error: Yost attacks and kills an innocent man, believing him to be Dr. Horace Garrison, a physician who administered a faulty lethal injection to a condemned prisoner, reducing him to a vegetative state rather than killing him. The problem is, medical doctors never, ever participate in an execution except to certify death, a legal requirement. They do not, ever, take an active role in killing the condemned person.
Factual error: While assisting Detectives Lupo and Bernard, the librarian in the New York library map room handles maps dating from the eighteenth and nineteenth century in a bizarrely cavalier manner. He does not wear soft cotton gloves, and flips the pages of the map books over as if they were modern books. Such maps would be extremely fragile and would never be handled roughly the way he does, and they would not be stored in plastic folders anyway. They would be stored flat in individual glass cases, and they would never, ever be touched with bare hands.
Quit Claim - S18-E7
Continuity mistake: Near the end, when McCoy and Cutter walk into Cutter's office, McCoy closes the door. On the back of the door is a white board and McCoy writes "Fri 12:00" on the board and then underlines it. When McCoy opens the door to leave, "Fri. 12:00" is still there but the line under it is gone.
Called Home - S18-E1
Character mistake: Michael Cutter decides to charge Bill Nolan with second-degree manslaughter, and tells Green and Lupo to pick him up. In the next scene, as he and Ed lead Nolan away in cuffs, Lupo says he's under arrest for murder.
Suggested correction: I'm not sure where you're getting your information, but medical doctors are involved in lethal injections more than just certifying death. This is why so many groups were actively trying to stop the practice of medical profession involvement. In 2007, 17 states required physician involvement, which included doctors at times having to administer the injection.
Bishop73
The botched execution took place in South Carolina, which absolutely forbids medical practitioners to take an active role in killing a condemned prisoner. In fact, they are considering switching executing prisoners by firing squad instead of lethal injection, at least partly to distance medical professionals from the actual procedure leading to a person's death.