Other mistake: When Finn and Rachel sing Smile in the Choir Room in Mattress (Season 1, Episode 12), Finn doesn't appear to look at any other page but the first one in the music given to him by Rachel. It is unlikely that the entire score for the song was on the first page.
Other mistake: In the scene at the lockers with Brittany, Santana mentions having trouble finding a younger man per Sue's orders. However, Santana is a senior in season 3, which would make her a sophomore in season 1. Therefore, she could easily just date a freshman instead of needing Finn.