Zimbra Server Sending and Recieveing +DNS Lookup

[f1tzz1mbr4]

dig mydomain.net mx:

; <<>> DiG 9.3.6-P1-RedHat-9.3.6-16.P1.el5 <<>> mydomain.net mx
;; global options:  printcmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: NOERROR, id: 17575
;; flags: qr rd ra; QUERY: 1, ANSWER: 1, AUTHORITY: 2, ADDITIONAL: 2

;; QUESTION SECTION:
;mydomain.net.                  IN      MX

;; ANSWER SECTION:
mydomain.net.           519     IN      MX      0 mail.mydomain.net.

;; AUTHORITY SECTION:
mydomain.net.           86319   IN      NS      ns27.hostgator.com.
mydomain.net.           86319   IN      NS      ns28.hostgator.com.

;; ADDITIONAL SECTION:
ns27.hostgator.com.     2525    IN      A       184.173.199.204
ns28.hostgator.com.     2525    IN      A       96.125.164.88

;; Query time: 0 msec
;; SERVER: 192.168.1.X#53(192.168.1.X)  <-- Zimbra Server IP
;; WHEN: Wed Jul 20 11:21:46 2011
;; MSG SIZE  rcvd: 134

dig mydomain.net any:

; <<>> DiG 9.3.6-P1-RedHat-9.3.6-16.P1.el5 <<>> mydomain.net any
;; global options:  printcmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: NOERROR, id: 43600
;; flags: qr rd ra; QUERY: 1, ANSWER: 6, AUTHORITY: 2, ADDITIONAL: 2

;; QUESTION SECTION:
;mydomain.net.                  IN      ANY

;; ANSWER SECTION:
mydomain.net.           14193   IN      A       69.160.209.125
mydomain.net.           86193   IN      SOA     ns27.hostgator.com. dnsadmin.gator14.hostgator.com. 2011060900 86400 7200 3600000 86400
mydomain.net.           393     IN      TXT     "v=spf1 ip4:70.84.123.2 ip4:96.125.164.88 ip4:70.84.123.15 a mx include:websitewelcome.com ~all"
mydomain.net.           393     IN      MX      0 mail.mydomain.net.
mydomain.net.           86193   IN      NS      ns28.hostgator.com.
mydomain.net.           86193   IN      NS      ns27.hostgator.com.

;; AUTHORITY SECTION:
mydomain.net.           86193   IN      NS      ns27.hostgator.com.
mydomain.net.           86193   IN      NS      ns28.hostgator.com.

;; ADDITIONAL SECTION:
ns27.hostgator.com.     2399    IN      A       184.173.199.204
ns28.hostgator.com.     2399    IN      A       96.125.164.88

;; Query time: 0 msec
;; SERVER: 192.168.1.X#53(192.168.1.X)  <--- Zimbra Server IP
;; WHEN: Wed Jul 20 11:23:52 2011
;; MSG SIZE  rcvd: 338

[phoenix]

I asked for the output of all the commands in that section, however, it would appear you haven't created a DNS A record in your DNS server config.