When Rizzoli and Korsak are chatting with Sam Langdon about Ainsley at the station, we see Korsak open his notebook and leaf to a fresh page then when the camera pans back to him, he takes the same notebook out from his jacket pocket.
The Coroner (Kent) says he found traces of a metal alloy in the wound. This is a common claim in police dramas which is completely wrong. The skin and even the skull is not hard enough nor rough enough to scrape metal from the surface of a metallic object.
The chief medical examiner is everyone's superior, that's not a reason to recuse themselves from a case involving a forensic scientist or their conduct.