After Julianne Moore runs through a grocery store and an alley, she stops in front of white graffiti on a wall. It's the logo of Revolution Studios, which produced the movie.
The address for the house on Long Island that is given is only the street address and "Long Island." In actuality, Long Island is made up of many smaller towns and different counties. There should have been the name of a certain town included in the address, otherwise the house could have been located anywhere on the whole island.
Before Telly starts tearing away the wallpaper in Ash's office we see a framed Hockey Jersey and five smaller framed pictures on the wall hanging over a desk. When she starts cutting the paper everything is still there, but the desk has been moved. Then when we pull back the only thing left is three small picture frames; everything else has disappeared.
The seedy NYC motel has illuminated 'Motel' signboard at the left and vending machines on either side of the entrance doors, yet in the morning (aerial shot) they are missing.