Does the trams work earlier then the park opens?

The Walt Disney World Monorail System operates from 30 minutes prior to earliest park opening until one hour after latest park closing.

Yes. Trams operate about an hour earlier

Runs 1 hour before and after park closes

Yes. Everything is running between 30 minutes to an hour early, at the least.

They run at least 1 hour before and after park hours

I think so

Yes...