1). Remake the raid mount points:
mdadm --assemble --run /dev/md10 /dev/sdc1
mdadm --assemble --run /dev/md11 /dev/sdc3
2). mount /dev/md10 /mnt/backup
3). Check for the USB volumes:
vgdisplay
lvscan
4). Use the UUID to rename the volume:
vgrename TdDMzM-Q05M-MLaO-ylQb-tBkn-Xqpo-jgQ5vX usb1
5). Activate it:
vgchange -a y usb1
6). Mount everything on /dev/usb1 like normal:
mount /dev/usb1/home /mnt/backup/home
mount /dev/usb1/usr /mnt/backup/usr
mount /dev/usb1/var /mnt/backup/var