Hello JJ24WP,
For some reason your message is not being displayed here but I did read it in the email notification.
To answer your question, currently the likes saved are not linked to any registered user. The total count of a post likes are saved in a Post Meta. By default when someone likes a post, the Post meta associated with the post gets a number increment, and to avoid the user from liking the post again, a cookie is saved in their browser and their IP is saved in a custom table.
For what you described, you would need to alter most of the plugin functionality related to how the data is saved.