Hey Ghala!
Thanks for reaching out.
When Events Calendar Pro is activated, past events will indeed continue to show — unless you specifically go out of your way to hide them.
Events Calendar Pro is not a different version of The Events Calendar, in the sense that you replace The Events Calendar with it: it is a premium add-on to The Events Calendar. So you activate it alongside The Events Calendar, and both run alongside each other on your site.
↑ I only mention this to underscore the fact that the display of past and future events is handled the same whether Events Calendar Pro is activated or not.
To get a feel for this, head over to our official demo site here → http://wpshindig.com/events Scroll down on that main page and click on previous months, future months, etc. — this will give you an idea for how past events are handled and displayed, etc.
Please let me know if there are any other issues or questions I can try to help with! 😀
— George