Yes, why not? The lonely widow returned home every night to a silent house.

I would more likely say, "Finally; it's quiet at my place." I know we talk about answering the door and phone which actually make no sense but we usually do not talk about having a silent house.

You can. "I finally have a silent house." Meaning that all the loud people or things have finally gone and left you in peace.

I do not see any problem with it. You could also say 'a quiet house'