aldiate on boot. But, in order to use and enjoy this Amiga 1000 with 1.3 and a HD, I necessarily need to have a 2nd volume on hand to handle these incidents? Is that the reality?
It is not. Newer Kickstart versions have Disk-Validator built-in but in older versions you must have Disk-Validator in L: of your boot disk. If it is missing you can't validate your disks.
To validate disk under Kickstart 1.3 or older it should be enough you boot from Workbench disk (where it has L:Disk-Validator) and let it validate your HD.
I think you just dont have that file on your HD and it cant autovalidate itself. If validation fails you should get an error request saying something "disk xyz could not be validated" or something like that.
EDIT Oh, sorry. Didnt notice your screenshot. You obviously have Disk-Validator and it tried to validate your HD but it failed due to inconsistent state of your filesystem. So you have to repair it using repair tools or reformat. It happens with Amigas (relatively) quite often. It is good idea have two partitions so you can copy files to another partition and format another.
In old good days I had 3 partitions and once FFS on HD0 broke and couldnt be validated. So I had to copy all files from HD0 to HD1... but HD1 also broke in the process so I had to copy files from HD1 to HD2... joys of Amiga ;-D