1) sh -x /opt/zimbra/bin/postfix status
Try to dig deeper on why postfix thinks it down.
2) This looks like a bug where the zimbra script was not installed. Can you file it with details about your OS, and the version you installed. For now you can get it from libexex/zimbra
3) Looks like tomcat came up ok. Does ps -ef | grep tomcat find it? |