Local Installation for Development / Purchase Code

Hi, not sure if this is correct in 'Other Issues' or belongs to 'Setup'. Anyway, I have a local installation of our website, or to be precise a cloned git repository for files, an regularly updated database plus a manipulation of hosts to get the right domain. What kinda makes me worry is this: I just recently added the Purchase Code to both installations (as opposed to adding it only online and just copying) and then updated locally (didn't thought much about). Did I now have voided my Key? And if is there a way to heal this? For the future: do I need to delete the informations from the local database before I open any page on the local server? Is there a way to check if the online installation is provided with updates? Sorry to bother you, but I am quite unsure now as you may see...