Setup the DNS service on Ubuntu 12.04 64 and all apears to be well except that my dhcp clients do not recognize my DNS servers hostname.

When doing a nslookup on one of my Windows clients, I get

C:\Users\chad>nslookup
Default Server:  UnKnown
Address:  192.168.1.2

Where I would expect the FQDN in the spot where UnKnown is seen. The DNS server know's itself pretty well, but I think only because I have an entry in the /etc/hosts file to resolve. There's so many places to look I don't even know where to begin. Are there any logs I can look at? Something.

Places I've looked at and configured:

/etc/bind/zones/domain.com.db
/etc/bind/zones/rev.1.168.192.in-addr.arpa
/etc/bind/named.conf.local

EDIT:

'/etc/bind/zones/rev.1.168.192.in-addr.arpa'

@ IN SOA dns-serv1.mydomain.com [email protected]. (
2006081401;
28800;
604800;
604800;
86400
)

IN NS dns-serv1.mydomain.com.
2 IN PTR dns-serv1
2 IN PTR mydomain.com

EDIT 2:

'/etc/bind/named.conf.local'

zone "mydomain.com" {
        type master;
        file "/etc/bind/zones/mydomain.com.db";
};

zone "1.168.192.in-addr.arpa" {
        type master;
        file "/etc/bind/zones/rev.0.168.192.in-addr.arpa";
};