Oh, really?
there are so many beautiful places in Korea.
if you are interested in Korean traditional culture, I recommend Gyeongju.
Gyeongju was the capital of Silla for about 1,000 years (Silla is one of the ancient countries in Korea)
so, If you come to Gyeongju, you can enjoy many things.
Especially, Gyeongju is famous for cherry blossom.
Oh, you will visit Korea at the end of the year.
In winter, I recommend Jeju island or Gangwon-do.
Jeju is vocalnic island. It has wonderful view and warm climate.
On the contrary, Gangwon-do has cold climate and it is famous for snow.
You can enjoy winter sports there.