For a person living as an animal in a park for at least two weeks, Michael is fairly clean and does not have much facial hair growth.
Maura says lyconthrope comes from the Greek word meaning werewolf which is wrong. Lycanthrope is a word coined from two Greek words neither of which mean werewolf. Lycan comes from the Greek word lukos meaning wolf. Thrope derives from the Greek word Anthropos meaning human being.The word first appeared in the 16th century, not ancient Greece which had no such word.
When Jack refers to moving to Albuquerque he mentions taking a job at "NMU" but there is no such university in New Mexico called NMU. The actual University of New Mexico is referred to as UNM. However, many television shows and movies, including this one, use fictional schools and universities, often similar to real ones, in order to avoid copyright and libel issues.
When Jane and Maura are walking to the crime scene Jane is telling jokes. During one joke her lip movements don't match what is said, and the next joke when the camera is behind Jane, her mouth is not moving while her voice is heard.
Maura wraps bandage like no doctor or paramedic ever would when she tends to Michael's wrist.
When Maura and Jack are sitting on a bench in the park, and she is telling him about human cell division, she mispronounces the word "chromosomes" as "chromosones". No doctor would ever make that mistake.