Other mistake: When Haskins and the other coach are going on their recruiting trips in the beginning, we can see the two of them talking on the phone. Funny thing is, that both of them are using pay phones. So who called who? How did they know the number? And how did they know when the other one was going to be near that pay phone? I feel it is highly impossible for one to reach the other when both of them are using pay phones.
Continuity mistake: Before the final game starts, the ref shakes the hand of the Kentucky coach. But they are shaking with their LEFT hands. It appears the film was reversed as the ref's pocket is also on the wrong side - it is on the right side of the shirt instead of the left, where you would usually find a shirt pocket. Later in the film, you can see the same ref with no pocket on the right side of the shirt.