@baldusjm Yes I’m afraid the subscription is done from the install UUID and a re-install changes that. I’m afraid at the moment you will have to email your old UUID and new UUID in and ask for the subscription to be moved over. You are not required to pay again.
There is a forum post on this over at “Are stable updates key/licenses transferable?”
specifically the second and third posts from me and then @suman address at least part of your question.
Hope that helps.