I don’t think Ilwoo want’s to kill Baekhee, because in earlier chapters he asked Baekhee on the rooftop, the city have any criminal, and this question was very out of blue. Baekhee’s dad is in jail for murder too, the first tought of mine was, he killed Baekhee’s mom, but I think he killed Ilwoo’s dad (Ilwoo said his sad died in an accident, and also Baekhee’s dad was the one who kidnapped him.) srry for my english, i’m kinda tired.

Omg. What? Y’all what if he came to kill the kid from his memory and doesn’t know it’s baekhee. Then when he confesses baekhee will think he hates him and go back to the other guy. Then other guy hurts baekhee, illwoo k1lls him and that’s why he went to jail. Assuming they have a time jump and that’s what happened.