Frequency and delivery

Hello guys! I would like to ask, does the domestic rail run daily? And a second: I will study in Wuhan, and I would like to travel by rail between Beijing and Wuhan. I do not want to spend a night in Beijing, after landing I want depart suddenly, so when I would like to buy a ticket by your website, could you send me the train ticket to my postal address to Hungary? Thank you for helping and I wish you a happy new year!