We had this issue after upgrading to 10.4.4 bind would not start.
Turns out some older domain aliases had an A record for WWW and a CNAME for WWW
Steps we took to get it resolved
1) We got a list of problem a bind was having issues with
2) In Plesk we turned off dns sync for the aliased domain.
3) Then for the we clicked the manage DNS for that alias.
4) Click the Restore Defaults (DNS) for the alias.
Once we got through the list of sites bind was able to start. We left off domain sync for the time being.
Hope this helps someone
Shone
