I tried a 3-event tournament with the AI, and I found two glitches:
1) I was racing with 10 cars on track, and two of the AI drivers had the same name, and their points were added together. Needless to say, they won the tournament by a hilarious margin.
2) For the first event I made a classic race without pickups, the second event was an ultimate race with pickups, and the third race was another classic race, but this time with pickups. For some reason, for the final race pickups were not enabled.