This tune moves between Am and C as the key center. A minor is the "relative minor" of C major. They share all the same notes! Put your capo on the 2nd fret and spike the 5th string at the 7th fret to play like the "original". Also the B section should be played 3 times before going to the C section.
This backup combines simplified rolling backup and vamping. Check out the licks for some great fills and more typical bluegrass options for rolling backup and vamping.