In S3:E1, Abby told Ichabod that he has not been in touch for 9 months. In this S3:E2, Joe Corbin tells Jenny that he's been back in town for 6 months. Joe came back in S2:E6.
When Jennifer is talking to Joe, she mentions his Marine medical training. The United States Marine Corps does not have any medical personnel. Navy Hospital Corpsmen are the medics for the Marines. If Joe had been a Navy Corpsman, the statement would be accurate.
The airbag does not deploy on the late model car when it crashes into the tree.