First Issue:
mount /dev/sdb /backup
/backup didn't exist, so I created it on /dev/sda1
Second Issue:
When I plug in my external HDD, the Disk & Devices pop-up notifier appears. I just close the pop-up; I don't click on Mount and Open. In the konsole I type:
mount /dev/sdb /backup
and am told:
mount: /backup: wrong fs type, bad option, bad superblock on /dev/sdb, missing codepage or helper program, or other error.
If I then click on Mount and Open in Disk & Devices, the drive gets mounted and Dolphin opens showing the drive in a separate tab (465.8 GiB Removable Media). If I then repeat the mount command in konsole I get:
mount: /backup: /dev/sdb already mounted or mount point busy.

Update:
After the external HDD was mounted via Disk & Devices, I opened KDE Partition Manager. I selected /dev/sdb and highlighted /dev/sdb1 and right-clicked and selected Unmount.
Opened Konsole and typed:
sudo -i
mount /dev/sdb1 /backup
That worked.
So your instruction: mount /dev/sdb /backup is wrong? Needs to be /dev/sdb1?
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