Factual error: During most of the basketball games, you can see an American flag in the background. This is not the problem, the problem is that it is hung wrong, the stars should always be on the top LEFT not RIGHT.
Factual error: Cruise is breaking and if you watch the eight ball after the break it's following the 5 into a pocket at the end of the table closest to Tom. Now the 8 ball didn't necessarily go in because they focus on the one ball, but in the next frame shot, there's no way it could be at the opposite end of the table like they show. (00:29:20)
Factual error: After Miyagi and the kid have the conversation with the military man they drive off and round a corner. A scene is shown of the sea and very visible is a shot of "Chinaman's Hat" Island. A feature that if you have ever been to Oahu, Hawaii near Kualoa Point you would know is on the island of Oahu and not in Okinawa where the movie is supposed to take place. See Chinaman's hat at this site: http://www.hawaiiweb.com/oahu/sites_to_see/chinamans_hat.htm.