Now, a lot of beginners are shooting on "auto" on their cameras,
Eek. When I first got a camera that could shoot HD I made sure it was one that had completely manual options.
Basically, is there enough charge so you won't run out?
I'd also add: Are there enough spare batteries?
Something not mentioned on the checklist is white balance which needs to be set correctly or else you'll have a hard time trying to fix it in post.