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.
Other mistake: When Chozen is buying vegetables from the villagers, one of the weights from the scale is knocked onto the ground. Daniel picks it up and realises that its not a real weight and breaks it in half. If Chozen wanted to cheat the villagers when he weighed their vegetables, he would need weights that were heavier than normal, not lighter plastic ones. Lighter weights would mean that Chozen would need to add far more of the light weights to make any amount of vegetables balance out, therefore he would be paying more for the vegetables than they are worth.
Continuity mistake: The college, Great Lakes University, is presumably pretty far north and the movie takes place in January. All of the characters are dressed appropriately in winter coats, except for in the diving scenes, where it's warm, sunny, and perfect for getting a tan.
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)
Continuity mistake: At the end of the movie, when the players are carrying Finch and the coach off the field, the scoreboard in the background is on, then off, then back on, over and over again with the different camera cuts.