Hi,
The log shows this error message “0123.688 () Error message: Could not move the files into place. Check your file permissions.”
There appears to be a file permission issue, meaning UpdraftPlus or WordPress does not have the correct read or write permission to a certain folder or file.
The following article on Smashing Magazine is a good guide as to the file permissions/ownerships that are required for WordPress: https://www.smashingmagazine.com/2014/05/proper-wordpress-filesystem-permissions-ownerships/#file-and-folder-ownership-for-wordpress
It could also mean that your server disk space is full. Please check on that as well.
Regards,
Bryle