There are a few different ways to set up weekly or recurring events:
To set up one website for all events, use Multi-Event registration so your attendees can choose the date/time they want to attend. Create a ticket for each event for which they can sign up.
To set up one website for each event, first create one event site; then duplicate the event site for each additional event. You can send out invites each week to your past attendee list.
To set up a calendar website that includes all event listings, please follow these steps: https://support.eventcreate.com/en/articles/5946015-how-to-create-an-events-calendar. Creating a calendar required separate websites for each iteration of the event.