Well, im not gonna lie. At first i didnt understood everything. I was like "WHAT HAPPEND?!" but then i really analize things and started to see things clearly. For my point of view:
Anders is the popular boy of Byron's highschool. The one who Byron's father r4p3 (i dont know if its allow to say that word).
Byron took his name because he doesn't feel like himself after that event. Even before that, he felt like an impostor, just a bad copy of his father. So the breaking point of starting to think he is other person was unleash because of that event. Plus, i think he took that name because Anders was broken after the meeting with his father. So he felt he fit more in that description of "broken".
Byron's father probably goes to jail. Byron says after the time skip something like "ill make him pay, that is the little i can do" so, probably he report it to the police.
I hope that solve your doupts. And i too really dont like Herbert. Like, its cool and interesting to finally see him in the history, but with the end and some behaves he has in the history, he is defintly a not good person.