Search form not working

Search events form links directly to all events page and lists all events not the categories searched for. (As per previous recommendations I don’t have an events page because I didn’t want all events displayed – just the search form.

Plus it only lists 10 events. It does the same when clicking on an event tag – displays only first 10 events. But I have 30. And it gives no way to display or see the rest.
How can I add pagination to this?