Other mistake: Danny Glover's wall has hundreds of newspaper clippings attached to it. At one point in the film, we are shown some of the headlines, i.e."Psychopath teaches sick life lessons." If you actually read the text below you'll find that it bears no relevance to the headlines whatsoever. (You may need to use the zoom facility). Two of them are about a fourteen year old boy who died in an explosion, due to "Goofy Clay", and if you pause and read the wording, they have exactly the same text.
Other mistake: When you see the shot of the camera watching Adam and Dr Gordon, you can see a plank sticking out directly in front of the camera. A little later, when you see the camera's view, which has some incredibly wide views, you can't see the plank, which would definitely have to be visible to see both of the people in the bathroom.