No emails

I have a post on my personal blog on troubleshooting, testing, and working with wp_mail. That will give you a number of other things you can try and check.

In addition to those suggestions, you should also set up a “from” address in the header. wp_mail does not do this by default (and the plugin’s emails do not either) so you need to add it. Your from address should be a real address that matches your domain if you want it to have a good chance of getting through your host and receiving hosts.