The issue with the player with the fake birth certificate really happened. Danny Almonte, originally from the Dominican Republic, playing for a US team from New York was found to be too old. He was actually 14, not 12, the cut-off age. He had a forged birth certificate. His team had won their regional competition and were eliminated in the semifinals of the Little League World Series but, as a result of the scandal, the entire team was disqualified, had their records erased and the coach banned for life from Little League baseball.
When the Benchwarmers are looking at K.I.T.T., Clark is standing looking at the car. In the next shot (the camera looking in through the window of the car.) Jon Heder's hands are clearly seen on the edge of the open window and in the next shot he's standing there like he was before.
After beating the kids on the field, the team goes back to Richie's place. When Gus says, "In the meantime, you know the best part about winning a baseball game?" Richie sets down his can. In the next shot, the can is back in his other hand.