Host doesn't get any e-mails after setting up a scheduled Zoom meeting?

Zoom does not send the host an email of the scheduled meeting.  Only the attendees for the meeting will receive the invite email.  If you want the meeting invite to populate the host's calendar, you can integrate Zoom with that calendar platform such as Google, Microsoft O365 or Exchange.  Here's the support article outlining that process.  You can also use the Zoom scheduling integrations within the calendar application by following this support article.