Yep - you've changed the owner to root and on the file you're having trouble with, only root has read access.
First, in that directory (as root) do
chmod 755 *
You probably want to change owner as well. I don't know what group your files would be, but as your user, type
touch test && ls -l test
to see what your group is (in the listing you gave above, the first "root" is the user and the second is the group"
chown username:groupname *
where username and groupname come from the touch line above (I'd assume andrew:andrew or andrew:users)
Next time you use rsync, add the "a" option, it does a few things, but most importantly it preserves owners and permissions.
rsync -aurt --progress --delete /home/andrew/Documents /media/sdb5/andrew