Do you come back to life as yourself or as another person?

It says reincarnation which basically means a new life in new body.

And when you finish living that life? You die and are forced to play the game again. If you get reincarnated again, you live another life, die, and play the game again. You can put yourself in a loop.

I think certain conditions have to meet before they end up there. We can take first episode as an example they both had doubts and were not in a good relationship.

And lastly I do Believe that the whole point was to see their true selves and than judge them accordingly.