Hi JohnDoe, I don't think you'll have any trouble.
Last year I moved from a W7 to a new W10 machine. The registration went like a charm. Since I still have my older W7 computer I opened both Poser to compare the settings and things like that and immediately Poser notified me another Poser was running with my license number and that it couldn't run. So pretty well done,
The major complication in that process was to download Poser again. It took ages

Yarp - author of P3DO Organizer for Poser