Short sentences

"Let's meet again soon, Korea! = 곧 다시 만나자 한국아! "
Is it correct?

If you translate the sentence you wrote above, it seems correct. But if you mean you going to visit  Korea again, I would like to recommend you to say "기다려 한국 내가 간다!" 

And how do you say:
"I can't wait to go to Korean again. See you soon Korea!"

"나는 한국에 다시 가고 싶어 못 기다리겠어. 곧 다시 봐 (곧 다시 만나) 한국!"

Thanks!