Hi Neco, I will look at the bug about Hogan's location. The third evidence you need to leave the apartment is finding out where Serina worked (you need to look at the paintings then discuss with landlord, then tell Luna what you found). You also need to discuss boots with the landlord to find a name of who it could be, then combine that clue with the book in you inventory, and tell Luna. Once you have told Luna about those pieces and the glass shard, you can leave and the game opens up more.
Many thanks for playing :)
Edit - have fixed Hogan (and a few other bugs) and uploaded a new version of the demo.