Mail server should have a hostname different from the mail domain. using the email domain as hostname is not a good idea. If you want to change the hostname in the zimbra configuration. follow the link below. Of course you still have to configure the hostname for your sytem first. The link only handle hostname configuration in the zimbra installation.
ZmSetServerName - Zimbra :: Wiki
Of course, that wasn't your question.
To fix your issue, you can do one of following.
1. recreate the zimbra.scoe.org domain and add the
root@zimbra.scoe.org and
logwatch@zimbra.scoe.org as an aliases of of the account you want to recive those emails.
or
2. create an alias domain zimbra.scoe.org and forward all emails to scoe.org.
This gets a nice side effect of every account in scoe.org also receive for zimbra.scoe.org. so depend on if want behavior you want.