It's pointless to pick out logic flaws in the apartment part, because it's all in his head using dream logic.
So yeah the picture doesn't make sense, it's not real, it only works in dream logic.
Now I'm not saying this is good! This is the biggest problem with "it's just a dream" is it completely invalidates everything and makes it immune to criticism in the dumbest way.
Yeah it just kind of sucks in a clockwork/logic game when you're supposed to ostensibly be solving a murder when the solution doesn't follow what one would logically deduce from the clues. Same thing with not being able to initially interact with/see the vent in the bathroom or get your wife to cooperate with you to interrogate the cop even when she knows about the time loop.
So is Bumblebee real or in his head? Neither the husband or wife ever acknowledge that they have another sister.
In his head. The cop is a manifestation of the husband's guilt/his knowledge of the father's desire to protect his daughter.