I think you're confusing density with volume, if some of the water had spilled the volume would have also diminished, so the density, which is mass / volume, would remain the same. If other material were inside the water the total volume would increase but the volumen occupied by the water would be the same and so would the density.
You'd have a lower density if the water was frozen; the mass of it would remain the same but the volume would have diminished, so the density would be lower (that's the reason ice floats on liquid water).
Maybe you can think about the other questions?