Site3 and Site4 need to either be setup as secondaries for ZoneAA or be configured to forward requests for ZoneAA to Site1's DNS server.
Which one is best for your situation is based on how many name resolution requests site3 and site4 do for host names in ZoneAA. IF they do a lot, then setting them up a secondaries should make name resolution happen faster and cut down on traffic between them and site1. If they do not do a lot of requests, then just forwarding the requests would be best.