Significance of hotels?

When Harry meets with the police to answer some questions, I seem to remember him going to a hotel, instead of a police station. This seemed odd to me at the time, but I went along with it. When the police notice that Harry has arrived, they tell him not to worry about whatever is going on in the hotel (crime scene?) and lead him to a private room.

They then proceed to ask Harry some bizarre questions about drugs, cults, his wife's past. It is mentioned that Harry and his wife had taken a trip recently. It is not stated where, but I bet it was to Morriston, Montana. This is why Harry is somewhat taken aback when he finds out the diner in the picture he discovered in also in Morriston.

When he travels to Morriston looking for more answers, he checks into the same hotel he and his wife stayed at when they were there on their trip. He also requests room 305, presumably the room they stayed in before.

Let's assume for a moment that Harry does kill Peter during the climax of the film. And let's assume that there is a subsequent cover-up. That would mean that police would have to come to the hotel and clean up the crime scene, perhaps like what was taking place at the hotel where Harry was questioned.

Any thoughts?