I did ran 'dir -l /home/httpd/mydomain.com/stats' and got
dir: cannot access /home/httpd/mydomain.com/stats: No such file or directory
I ran 'dir -l /home/httpd/*/stats' and everything look normal including that "mydomain.com".
When 'sh /script/restart-all' still get the same error:
Error creating logfile /home/httpd/mydomain.com/stats/mydomain.com-error_log or changing its protection or ownership.
I now changed awstats to webalizer thanks to you telling me where it is. But that still didn't fixed the above error.