I have only downloaded the game recently and only am in episode 2. But the story feels to be inspired from "Dark", the German time travel series. It's just that everything he is doing has been done before which is why is why his actions in past does not change the future or present and in the episode 2 dream sequence, his father tells him to escape the Deja vu, which also a very big thing in Dark. So anyone can comment their thoughts and if you haven't seen Dark, then I highly recommend it. It is one of the series where time travel is done right.
Spoiler?: I think the MC is his own dad, but then Jenny would have recognized him, so I am really confused. But this is a theory