In answer to your questions:
1. Whilst we don't officially support third party plugins (and thus cannot guarantee that all will be compatible with our themes), there are some which are used regularly by members of our community, and we have listed some of them on our
recommended plugins page. We unfortunately cannot confirm specifically if the one you mention is definitely compatible out of the box.
2. As above, there are some recommended plugins for this purpose you may find useful.
3. There is nothing specifically built into the theme for this purpose.
4. Further to my first response regarding third party plugins, you can certainly try using plugins you use regularly to see if they are compatible, we just can't guarantee they definitely will be.
5. No, there is an email which can be sent to prompt the user to manually renew their listing though.
6. Yes.
Thanks :)