That's about it. Oh, know Vmc demo. Can't remember if you'll do it on the private but I think you do (or can).
Know your engine out flow: Mixture(full forward), Props(full forward), Throttle(full forward); Flaps/Gear(up), Identify(dead foot=dead engine), Verify(move suspected throttle - listen for any RPM change), Fix(gas, pressure, etc.) or Feather (Fix v. Feather depends on alt.).
I doubt you'll get into MELs for the private level but look 'em over. Critical engine vs. non-critical engine.
Overall it's an "easy" ride.