Hey Yannick,
Our plugins are generally compatible with the DIVI theme.
When it comes to managing rentals and availability of rooms, none of our plugins have specific features for this. Our ticketing plugins only offer RSVPs and ticket sales.
So if you were selling time slots to a room, for example, you could make an event for that room for a given day. And then make a different ticket for each time slot. So one ticket could be “8am–9am”, the next one “9am–10am”, etc.
↑ This is about the closest you can get with our plugins out-of-the-box.
Please note that The Events Calendar and Event Tickets are both totally free, so you can start playing with them firsthand and see how they work for your needs. Check them out here:
• http://wordpress.org/plugins/the-events-calendar
• http://wordpress.org/plugins/event-tickets
Cheers,
George