I don't think this will get a 2nd season, it's pretty much complete even if a few things were left out, but the open ending with Gi Hoon heading for revenge may prove me wrong.
If they make one anyways:
Jun Ho will be brought back obviously, they'll have to explain where was he for a year and why he was quite which is something easy to do OR they'll confirm his death and introduce a new character who takes over after receiving the evidence Jun Ho sent, who have been investigating them for a while by the time of the of the 2nd season.
They will give us different games to keep things fresh but they'll to do things differently too otherwise even with different games it'll still be the same thing, that would be repetitive and boring.
Overall the only thing that would make a 2nd season interesting is Gi Hoon's revenge and I don't think this drama would head for that direction, where he succeeds in ending the games as it's not that kind of story where the hero saves the day at the end of all things, after all why you think they purposely failed Jun Ho?
The winners are either alive and monitored or killed if tried to act up like Gi Hoon is trying to do but I don't think any of them is sane after what they went through unless they were insane to begin with, and the money is most likely used regardless of anything, Gi Hoon using his at the end was a good example that the others would use theirs too.
NaniNi:
The policeman will be alive and we will understand the reasoning behind the role of his brother as the front man for the games. On the other side we will understand more about the life of 001. 456 will spend time to stop the games and seek revenge. I will not be surprised even if it occurs that 001 is the father of 456. Unfortunately, I don't see how North Korean girl will participate, although I would like to see how her character can be developed further.
Sae Byeok is dead they can't do anything with her character in a hypothetical 2nd season except perhaps flashbacks which would be totally unnecessary.
Il Nam and Gi Hoon are totally unrelated.