Ichabod is wearing his boots while pacing restlessly in the motel room, yet when Abbie arrives moments later, he's shown putting on his boots.
Crane reveals that he has an eidetic memory. The etymology of the word post-dates Crane and was coined in 1924 by German psychologist Erich Jaensch.
When the Captain shows Mills the surveillance video of Brooks supposedly killing himself in the holding cell, he did it by running into the back wall. This would put him facing away from the door. Brooks had actually been facing the cell door when the creature snapped his neck, a distinction both Mills and Crane should have noticed.