Hi I am a ex teacher who also worked with children with English as their second language, you say she was born in 2014 so she is very young!don't feel bad about not knowing her,how could you?you live in different countries and language is also a problem!
Somethings are universal,a smile and friendly face, always start with this! Ask your son what she likes, and take a British goody bag,to show her where you come from,maybe a paddington bear, a toy from Beatrix potter, a little union Jack flag to wave, a picture book you can share,that does not need a lot of reading ,so you can tell what the word is in English and she can repeat it and tell you the Korean word,find a funny thing to take with you, like one of those daisies that wobble when the sun shines,or a funny puppet,these will be massive ice breakers,and it's a slow war to get you and her bonded.
Maybe when you come home send her a little parcel now and again,and you can talk about these on Skype.
You can learn Korean just like that!! Try odd words and gather to teach you,small children love that!
Start with hello,goodbye,thank you ,.
Use the time and enjoy it ,you will see into her world and she will be comfortable to share it with you!
Enjoy every minute!