by Ken Task.
First, since you are hosted with a Moodle Partner, have you contacted them about the problem?
IF you have access to the moodledata folder/directory, see if there is a directory named 'temp'. Inside there should be a 'backup' directory. If they are not there, create them. Make sure they have the same ownerships/permissions as the other folders/directories in moodledata.
Comment: rather strange those directories are missing. Again ... Moodle Partner.
'spirit of sharing', Ken