It’s better to deactivate plugin at the older place before activate it at a new one.
Btw., license key is important only for access to the automatic updates. Plugin does not block/hide itself due to license state.

Try login as a user with WP built-in administrator role. URE makes itself available for this role automatically. If you don’t see URE as such user, try to deactivate URE and activate it back. If it’s not visible at the “Plugins” page make this via FTP:
– rename user-role-editor-pro folder to user-role-editor-pro-1;
– open ‘Plugins’ page again. WP will automatically deactivate URE, is its files are not available;
– rename URE folder back to user-role-editor-pro;
– return to “Plugins” page and activate URE again.
URE tries to grant its user capabilities to administrator role on activation.