Other mistake: When propping Jane Doe's head up onto the block, her head tilts back but her eyes stay focused toward the ceiling, not tilting back. (00:26:25)
Suggested correction: She is a supernatural entity, so her body does not necessarily behave as a normal body would. It's just one of the many unexpected things about her.
Exactly. It's shown a few times that she has powers to do strange things. Like twitch her toe.

Revealing mistake: When Austin goes to write the Roman numeral "XVII" on the chalkboard, the erased numerals from a previous take are still visible where he's about to write it. (00:41:36)
Factual error: Tommy states that Jimson Weed is a paralytic, but it is not known to have this property. It is however a powerful hallucinogen and deliriant.
Continuity mistake: When we first see Emma in the hallway outside the morgue, she is wearing pantyhose. When she walks into the morgue, the hose are gone and her legs are bare.
Other mistake: When the Sheriff arrives at the end, his car has Pennsylvania license plates but we have been told that the setting is Virginia.