Other mistake: There is a scene where a dead Indian warrior is discovered. In this scene he is covered by a large flat piece of stone. When they pull away the stone you can see his chest rising and falling as the "dead" Indian breathes. Much easier to see when viewed in HD.
Other mistake: When they are in San Francisco, notice the pianist. The keys he presses don't correspond with the notes he's supposedly playing. It's a little bit obvious that the music was recorded in advance.