Well, they're not correct are they? According to the info you posted above and have in the hosts file your Zimbra server is located at 10.10.10.18 check it with
Also, according the this information:
host `hostname` <-- backticks not single quotes
you aren't using the FQDN of your zimbra server, you're using mail.xxxxxx in the DNS instead of mail-01.xxxxxxx - I'm confused as to why you're using different names.
Aug 12 07:16:44 mail-01 zmtomcatmgr: manager process 4498 died, shutdown completed
Aug 12 07:20:02 mail-01 postfix/postqueue: fatal: Queue report unavailable - mail system is down