Question: This may seem simplistic, but what happened to the police who were meant to arrive in 14 minutes?
Answer: If the police arrive in 14 minutes, they would be dead and killed by their doppelgängers - Red, Abraham, ombre, and Pluto.
Question: Spoiler: The project behind The Tethered (and the rabbits) was said to have been abandoned for generations and the subjects left directionless. How, then, did that still have water, power, etc.?
Answer: The project was abandoned, but they obviously kept the tethered ones alive. This may have been out of some sense of compassion, or because there was a possibility they would be useful in the future.
Answer: They were delayed or killed. When the family was given the 14 minute estimate it was before anyone, including the police, realised the extent of the problem.