Based on episode 3 everything that happened before the bridge scene was the intended work, without any alteration from " anything ", of the writer ' Oh Sung Moo ', so the actual killer is just a character that only ' Oh Sung Moo ' knows about & will only know, unless he actually shares the information about his ' inspiration ' for that character, so the REAL killer is ' Oh Sung Moo ' but the actual killing was done by his character.
The character dressed in black that appeared during episode 3 as well as on the roof top of the building, before ' Oh Yeon Joo ' met & saved ' Kang Chul ' is PROBABLY not the killer that killed ' Kang Chul ' family but another creation that ' Oh Sung Moo ' made, solely focusing on killing ' Kang Chul '.
Also off topic but during episode 3, i think ' Kang Chul ' already knew that ' Oh Yeon Joo ' was invincible, that why he was able to shoot her to try to get information out of her, because she was PROBABLY shot before & nothing happened to her, when that character dressed in black came in with the gun & might of accidentally shot & hit her but didn't do anything to her, hence why there was an exaggerated scene when ' Kang Chul ' was looking at her while fending off ' that ' character.
Or he finally realises he has some sort of power in his world to make things turn out the way he wants, something like that, who know hahaha