You’ll actually need to set up a separate page for the registration step. By default Event Espresso 4 adds a registration-checkout page. May I ask was that page deleted? If so, you can restore the page and make sure it’s set in the Event Espresso > General Settings > Critical pages settings.
With regards to the /events/ page, right now the Events Calendar plugin by Modern Tribe is controlling that page. That particular plugin has a setting that allows to you to change which page the calendar is displayed on. You could also change the Event Slug option in Event Espresso > Events > Templates and change it to something other than events to avoid the conflict.