Idk but in the begging of the story ( first pages) is kyon dying ( trying to kill himself ) so everything up till now seems to be a flashback and now we are back to the present I'm confused too
No, I believe Kyon was a few meters away from the mansion. He didn't have anywhere to go, so its not like he can just go home and then kill himself. He probably thought that if he killed himself far enough from the mansion, he'd be dead by the time someone finds him but then that someone can give him a proper burial instead of dying on the streets where he'd likely get thrown around lol.
Also, I think Kyon is legit mentally unstable right now. I think he remembered, a little, that he was sent to Lucaon's mansion on purpose by an enemy that Lucaon is after. Then Ryan and the new girl, Cecile was it?, are telling him he has to leave. He's torn between leaving the mansion to protect Lucaon or staying because he really loves Lucaon. It added to his problems when Lucaon told him to stay.
Is it just me or does anyone else think that Kyon trying to kill himself was a little weird. It was clear that he was upset about being forced out but it seemed like he was willing to go along with it for the time being until they could figure out what was going on with him. Also the way he does it seems a little unusual. Slashing your throat in front of your house isn't a very common method for suicide. Maybe its the way the scene was written or maybe I'm just confused but it just seems pretty fishy to me. His brain-washers told him to stay with Lucaon so maybe they forced him to do that if he ever tried to leave. Idk.