You go to immigration after your arrival and get a 30 day extension. At the moment you get 60 days on arrival but by next year that may not be the case. So you need to keep an eye on it and get a 60 day tourist visa (maybe get one anyway to be safe, its not expensive) which you can also extend by 30 days after you arrive.
There are websites that basically lend you a flight for this reason. They give you a real booking number and you pay them a small fee for the service. Have a look on google.
no they dont, why on earth would eva fly direct there? They will have a code share flight, good lord you could get an eva air flight (code share) to almost anywhere in the world.