Bullet Train from Haikou International Airport to Sanya

Is there a bullet railway station from Haikou International Airport to Sanya so that I dont have to come from the airport? However, when i search its schedule, i have to go to either Haikou East Railway Link or Haikou Railway station which is out from airport to take the bullet ride to Sanya. I dont see any Meilan Airport Railway station for bullet ride. In addition, I saw the first class or second class seat may not have space to put my big luggage because I travel from overseas which required a big luggage of size 28 inches. By the way, just to reconfirm if I can book the bullet ticket when I reach there on 1 March or do I need to book through online. The fees of the bullet ride from Haikou to Sanya and vice versa? Do I have to pay immediately after my bookings or can i pay when I collect the tickets on the spot?

Thanks!