by Howard Miller.
What it says.... "open_basedir restriction is in effect".
'open_basedir' is an optional PHP restriction to only allow scripts to read/write from/to specified parts of the filesystem. That means your Moodle data files *have* to be within the specified directories. The error message even tells you what the allowed directories are - they are set in your php.ini file.
If you don't really need this restriction I would turn it off.
Further reading... http://php.net/manual/en/ini.core.php#ini.open-basedir