Since I think the drama won't revealed what truly happened regarding GJC case (serial killing case as very well what truly happened on the snow scene with HB & HE as well) until their very later ep.
I think I'll write down my theories here just to check them later whether it turns out to be true or not ㅋㅋㅋ
So here's my theory:
My take was, when little GJC was abused by his mom, GJC sort of create an alter ego/ other personality (beast) who loves to kill, while the original GJC remain as an innocent lil' kid & this was the GJC we're seeing in the drama.
When GJC was prosecuted for the 11th victim case, we were shown that GJC got a seizure whenever he suffered an extreme situation and his lawyer plead that he won't remember what happened after that, thus later he was sent to mental hospital because he can't be punished for something that he can't remember.
So, from original GJC perspective the 11th victim is his first victim (because the other 10 victim were done by his alter ego & he was "unconscious").
The beast (portrayed with GIW face) keep persuading him to kill, but GJC refused by saying he's different as unlike him, he can feel love.
That day, when he accidentally killed HB, his alter ego did the following multiple stabbing to HB.
Right after that, HE cursed him & GJC shot himself in the head.
BUT, I think he never actually shot himself, but it's morelikely just a methapore in his mind that he had killed/thrown his original self and have been taking over completely by his alter ego (the beast).
That's why he survived the shot & sentenced in jail.
This theory is consistent with what HB said in the interview room, according to him GIW had been pronounced dead 15th years ago, never married & doesn't have a son.
Also, when GJC visit his father at that abandoned school, we see him stabbing his father & his father's painting, but later we see his father was totally fine & the painting still in a good condition when HB found it.
So, continuing the snow scene at HB&HE wedding day, I think it's possible that GJC, who was already taken over completely by his alterego, was the one who smashed HB skull & performed some ritual so that he can be reborned as HB.
(I think he hide & burried HB's body elsewhere, put him in formaline, etc so HE didn't find HB's body & was looking for him later in snow just like what being shown on SH's dream).
Because I think there's no other person who's as obsessed as GJC with this reborn concept aside of GJC himself.
But luckily, earlier at church HE had tied her fate with HB & later she cursed GJC back too, so I think GJC wish to be HB was ungranted as it has been countered by HE.
I'd like to add another thing, regarding the scene where GIW pick GJC with a car & said that he was about to leave & then ask Hye Mi to look after GJC.
I think it's GJC alter ego himself who was about to leave because of GJC determination to love HE, and his alter ego ask Hye Mi to keep monitoring him.
However, GJC way to collect himself was ruined after finding out HE need a heart transplant to live thus he killed the Salon's owner.