Thanks for the information, I did the following and it appears to have worked as expected:
Deleted myDNS from the server and removed from startup directories
Downloaded ISPConfig and ran update.php
Logged in to control panel and checked DNS settings under the Server Config menu, they were all correct
Edited DNS record to trigger an update
Manually checked the bind directory and the new DNS file was created
It looks as if everything worked and the new Bind DNS server is responding to requests for the domain names it hosts.
Thanks again for the help.