Other mistake: Towards the beginning of the film, the teacher counts 19 students then says one is missing, implying there are 20 (including Mike) However, Mike ends up being paired with the teacher, despite there being an even number of students and therefore everyone should have a partner.
Trivia: At the end of the movie, Mike and Sulley begin their career at Monsters Inc by working in the Mail Room. Also working in the Mail Room is The Abominable Snowman we met in the original (who is voiced by John Ratzenberger). This is making a reference to the TV show Cheers, where John Ratzenberger also played a mailman.
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Question: Mike and Sulley are able to activate the door when stuck at the kids camp by harnessing enough screams to activate it. If laughter is 10 times more powerful than screams, then why wouldn't child laughter (especially if there is a Birthday party, etc.) not activate doors from the "human world" allowing kids to go into the factory (monster world) all the time?