Confirmation/Notifications aren't being received

We are still in the testing phase before we launch the site, so we've been scheduling appointments ourselves. We aren't receiving any notifications on either end—"customers" aren't getting emails, and the service provider (there's only one) isn't getting notifications via email or via dashboard. The activity log shows that appointment emails are being sent, but they never appear in our inboxes...we checked spam folders, too. Nada.

Is there a setting that we missed for getting the emails to work? I looked and looked...

Thanks in advance for your help and clarification.
Designer