Welcome to RNG. Path A is the most likely path to be put on of the 5.
it sucks because you can’t get the backstage pass to complete the other paths that you need. I think I have done that path an every time except twice!! Then I received a backstage pass annd used it for d. Still need to complete path e.
You can exit and your entry is refunded, so you can keep retrying for a specific path. All it costs you is 2 energy each time
I'm not sures that's right, then it would make no sense to be random. May be bugged?
It’s right. The text on screen at the beginning of the quest says your entry is refunded if you quit and restart.
There aren't any rewards for exploration, so just focus on the most rewarding paths.