Well, Minyoung didn't kill Cheol's trash brother.
Technicaly kept his word of no killing: whever trash died or not (not sure yet), it's not by Minyoung own hands. Technically, hu... He "just" delivered him to the drug dealer trash bro stole from. With cut ankles.
The guy Minyoung is talking to at the end of Season 1 is Cheol's other stalker, the one he saved from a car accident and who have been stalking him ever since. He never stopped since highschool so he is aware of Cheol's family matters and noticed trash bro went offline.
Maybe stalkers understand each other, because he have the intuition Minyoung must be involved in it but is unsure of the details.
As for where he gets the audacity to question Minyoung, I have no idea. He is noone to Cheol.

after letting this marinate for a while so i can binge the officials, i finally read everything. (including the last unofficial chapter)
10/10, i love me a crazy uke. but i don't really understand the ending? did the uke actually kill the semes brother? who is the uke talking to at the end in the cafe? can anybody explain?
i'm really bad with names, so the characters saying the names confuses me even more >.<