All these lines mentioned above are popular jokes among young women in Korea :-)
For those who don't get the meaning:
- 사람이 이렇게 잘생겨도 됨? Is it allowed for anyone to be so good looking?
- 와 남신이다. Wow, he is a male goddess.
- 진심 핵존잘이다. He is truly nuclear highness good looking.