Upon entering the barn for the second Exorcism scene Nell is seen to be wearing a pair of Dr Marten boots, the amount of mud on the boots varies throughout the scene.
Despite being a film composed of "found footage," several scenes in the film are scored in the typical horror movie fashion (screeching violins, thumping bass, acoustic guitars). This would presumably be absent from a collection of footage showing such disturbing events, and obviously could not have been added in post production by the characters.
EDIT: The assumption that if found, a music score couldn't have been added in post production by the characters, would be correct. However, the production company that released the footage WOULD have added music in order to boost the sales of the "found footage" before releasing it.
At 9:51, there is a shot of a newspaper article about the death of an autistic boy. The article is in three columns. Half way down the third column, the article repeats, starting from the beginning again.
Supposedly is filmed with a single camera, but for several dialogues, courts are seen as being of two different cameras.