Russell,
Your question "Do I assume right, that you bought parts directly from Lister-Petter?" The answer is yes... and no. My local Amishman/Lister dealer has a rather complete inventory of NOS Lister parts. As dealers were shedding their inventory, he was buying it up. He has boxes and shelves of parts. All genuine Lister, not copies.
Parts are high, but if you want the real thing for your genuine Lister, he is a source. We're in central Illinois.
Bob