An attempt to modify a file or direc-
tory was made on a device mounted
13 EACCES Permission denied
An attempt was made to access a file
in a way forbidden by the protection
It looks to me as though /var/coreloc was a read-only file system at 22:18:00. The next error message indicates that something changed but it's still not writable. Perhaps there's an NFS file system mounted at /var/coreloc and it is not exported in such a way that it is writable by root.
You posted this question in the zones forum. Is there a reason that you suspect something specific to zones is to blame or were you just having problems finding the right forum?