could Jii be the killer? He came and killed the victim,left the door open and left, Lea came found it chilly and bumped the heat found the victim dead, left and closed the door. Fearing who may have done it by maybe seeing a piece of evidence covered up for him by telling her false story to the police. Max comes and realizes its hot, saw the victim, closed the door, and left fearing the worst by seeing Lea leave. He didn't want to tell police much because of it. Jii wore gloves and a hat because it was cold outside, thus no fingerprints or hair.