CBSubs can protect content articles or even the links to your detailed v-card. This is done with the CBSubs Content integration which allows protection of articles, menus, modules, components, or URL parts such as option=com_mycomponent&task=vcard&action=details.
Second part requiring registration can be done without CBSubs, but at any rate a user is required to register in order to subscribe so any area protected will of course force user to registration page with appropriate plan selected for them to subscribe to. Otherwise just set your component, article, etc... menu links to be Registered access instead of Public.