You should probalby read through these wiki articles on logger. They will help you troubleshoot the problem.
http://wiki.zimbra.com/index.php?title=Logger http://wiki.zimbra.com/index.php?title=Brian-Notes
The zmmtaconfig issue maybe unrelated, but it's fairly important you resolve it as well. Those errors indicate that zmmtaconfig/zmprov couldn't talk to ldap. Do you have a firewall or iptables running? Can you execute zmprov gacf from a zimbra shell?