Other mistake: In the last game, Chet pitches six innings ("You gave me six great innings!"), then Henry takes over pitching, meaning he'd be pitching in the 7th inning. Sounds good, until we fast forward to the 9th, with Heddo batting with two outs... Assuming Henry was perfect, Heddo would be the 9th batter Henry faced, meaning he would've been Chet's last out in the 6th, which of course he wasn't (the Chet play at the plate ended the 6th and he wasn't facing Heddo.) Also, Heddo was seen walking up to the plate after the second out of the inning (the rundown at second base), with Martinella saying something like "holy goosebumps, it's Heddo" as he approached. Heddo would've been on deck, so it wasn't a surprise, plus he would've already been at the plate prior to the rundown play.
Other mistake: When Henry gets his cast put on, there is a brace going from his upper arm to his waist that is molded in place with the cast. After he leaves the doctor's office, it has suddenly disappeared.