Five for Fighting - Superman4 guitar chord

Five for Fighting - Superman

Previous postings of this song seem to have this part wrong.  

I've played the below against the song, and the overall chord

structure sounds pretty close to correct.

Am           C   Dm       Am

Up up and away, away from me

           D             C              D

It's all right, you can all sleep sound tonight

          F         G

I'm not crazy or anything