I have had to purchase a pdf file, which was only accessible to me for 10 days, and then it sort of "self-destructed" (it was understood that I would only have access for 10 days, after which it would become inaccessible). How can I create such a file myself with Acrobat DC?
You don't. You need a DRM system like LiveCycle Rights Management. Expect to run a dedicated server 24/7 which you'll need to administer.