Other mistake: During the one game playoff against the Yankees, the runner Taylor picks off at first base has the same number as the batter who had just struck out. Also, the number they both wear has been long since retired by the Yankees and therefore no player could ever wear it again. Again, in the first game against the Yankees, the first base coach also has the same number, making it three Yankee players with the number 37.
Other mistake: In the scene before the one game playoff Bob Uecker states that the Indians are going for their first league championship in over 30 years. In reality the win gives them a division championship and not a league championship. (01:20:08)
Other mistake: Roger says to Jake that he's going to be a free agent next year, which he's excited about and why he doesn't want to risk injury, but then when he learns of the owner's plan and that he'll be given his release next year, which is the same as free agency, he's upset. Plus you can't be given your release when your contract ends, which it must be if he thought he was going to be a free agent.