Hey Marina and thanks for getting in touch!
Good question. There is no feature to show the remaining number of tickets at the moment, but you could accomplish that by customizing the event template and using the tribe_events_count_available_tickets() function to show that number.
Also, if all tickets have been sold out, can the plugin display ‘Sold out’ instead of the ‘Register’ button?
Yes! The ticket form on an event will display a sold out notice if there are no remaining tickets. 🙂
Does this help answer your questions? Please let me know and I’d be happy to help.
Cheers!
Geoff