Does anyone know who notices movie mistakes? Is it a job?

What we have here is failure to communicate... Actually this indicates a breakdown between the continuity supervisor, the director and editor. Mainly the continuity supervisor. It is HIS job to see things like you list do NOT happen and obviously, the continuity supervisor dropped the ball, several times... This is a major problem in movies with a high percentage of special effects. The continuity supervisor jas nothing to actually SEE in the frame which he is supposed to be tracking. This becomes even more difficult when the continuity has to span more than one movie.