There is no property like phone number from your customers list, you can only get emailaddress and displayname properties. There is already a feature request present here, please upvote it so that the Product team may develop it. And for the search query parameter, please raise a feature request here so that this feature of searching may also be added to Bookings API by product team in future.
(If the reply was helpful please don't forget to upvote or accept as answer, thank you)