I keep getting this error on a few of my partitions.

An error occurred while accessing '29.3 GiB Hard Drive', the system responded: The requested operation has failed: Error mounting /dev/sda5 at /run/media/root/ea53deae-a38e-4fcb-9656-80efd3540d47: Command-line `mount -t "ext4" -o "uhelper=udisks2,nodev,nosuid" "/dev/sda5" "/run/media/root/ea53deae-a38e-4fcb-9656-80efd3540d47"' exited with non-zero exit status 32: mount: mount /dev/sda5 on /run/media/root/ea53deae-a38e-4fcb-9656-80efd3540d47 failed: Bad message

I can run e2fsck from a live Dvd and it corrects the error but it recurs again and again. Does this mean that I have bad sectors on those partitions and running e2fsck is only a temporary fix? Should I delete those partitions? Thanks for any help.

you may check /var/log or dmesg for additional information. Also you may check smart info about that disk.
Unrecoverable error usually means you need to replace that device.