When Beckett and Castle arrive at the crime scene, Wendy's body is lying on the floor with her eyes open. Later, back at the precinct, when Beckett shows the photo of Wendy's body to Joel Pratt (the owner of Joel's Cheesesteaks), her eyes are closed.
When Beckett arrests the killer, she comments that, in addition to the murder charges in New York, the "State of Pennsylvania" will want to file manslaughter charges. While it's commonly called a state, it's not called the State of Pennsylvania; its name is the Commonwealth of Pennsylvania.