I just installed DT register on J3.x and inserted the first event, the event is listed and I find it in the "Register to event" menu and I can register, but I don't see it on the Event list menu, there I get a blank list.
Check your event categories. Make sure they are "Public" and NOT "Guest". Those are two very different Joomla access levels. If an event exists but is not showing, the only reason would be category and access level related.
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