Solid game! The interior is really detailed and awesome. It feels like a real place, almost. The UI for the texting segments is well done, and the puzzles are neat.
I don't think the game is helped by the "find an object" sections, though. It can be a little tedious to be searching and searching and searching for an object. I eventually had to give up in the second day because I was looking for some doodad for 5 minutes. I say you should implement some kind of "The user is taking too long to find this.." timer which would then project a highlight on the object that goes through walls. So if the user has spent 1 minute (1 minute might even be too long) looking for a pill bottle, it gets "lit up" through the walls and physics objects.
I also thought the theme was a little weak. I didn't read your "How does it adhere to the theme" blurb until after I had already played, so I didn't see the connection to Gone Home, really.