Few question about functionality

Hello,
I have some questions about the functionality, whether in the paid version (if there is such an option) or the free version.

1. can I block registration for logged-in users only? I want the calendar to be visible to everyone, but only after logging into your account will you be able to create a reservation.
2. is there an option to make the search for users by users in wordpress and not those data that are filled in the form (by non-registered users)?
3. is there a shortocde, or any other way to have the customer’s account display their past and future reservations along with the ability to click the “cancel reservation” button if the time until the reservation is equal to the one set in the options?