I'm guessing neither Do Hyun Soo or his Dad committed murder. The reason why his Dad always appears to him is because he was always been teased at school saying his Dad is a Murderer and words can be a dangerous thing to the ear. Seeing his Dad appearing to him with that **** is just his Delusion and illusion. The two are innocent. You said something about the Do hyun Soo committing crimes on the screen let's assumed you were in his position and people thinks you're a murderer and you changed your identity and few years later. A friend that knows you fully (The reporter) sees you by chance in your home what would you have done? Would you let him go and run away leaving your child behind? Or would you try and learn of your friend dirty secret so you can blackmail him and live in peace with no harming other. And most importantly Do Hyun Soo didnt know his Father is no Murderer. The kids at school poisoned his Mind.
I will rate it 10/10 and i can boldly say that Do Hyun Soo/Baek Hee sung didn't kill anyone. The guy is innocent. He is just born that way. He's abnormal but he didn't commit any crime I'm 100 percent sure about this.