In this movie Danny lives in a 2 story house, but in movie prior (which is set only a day before) he lives in a 1 floor apartment above a Chinese restaurant.
Towards the end of the movie, Pinhead's sweater color switches from black to brown in different shots.
At the very beginning of the film and just after Commandant Moebius exits his car, the soldier behind him readies his weapon. Then, as Commandant Moebius walks further forward, along the car, from a different angle, the same soldier, behind him, once more readies his weapon.