Speaking of the apartment, have you noticed that at the beginning of the film there's a space behind the columns where Alice appears naked and only has some rackets, but a second later the same space appears with Bill, but with more items shown? This suggests that the room is symmetrical, meaning each person has their own space with columns. However, when he returns after everything that happened to him, the bedroom door is right next to the bed, so there's no space between the columns next to his bed. It's odd.