First of all that hosts file is incorrect, you need to have a FQDN on the LAN ip like this:
Code:
192.168.x.x mail.domain.org mail
- have a look in the Quick Start Guide for the information.
Second, you need to have valid DNS records pointed to your zimbra server, here a
thread that describes it.
Third, have you opened all the ports in the firewall that zimbra needs? There's details in the wiki and forum for a list of ports.