Disconnect all the external drives.
Reboot.
Connect ONE of the external drives.
If it doesn't mount, try "just waiting a while", 30 minutes or a bit longer.
As master said in reply 3 above, the OS will try to repair an "unmountable" drive, but it can take some time.
Does this help?
If so, dismount the first external, try it on the NEXT external, etc.
One-at-a-time...