1. By "amount" do you mean by mass, or volume?
2. If you have a substance, and weigh it, then compress it in a way as to change the molecular makeup, it will still weight the same. You're only changing the density by compressing it, not the mass.
Density is defined as mass over volume. (d=m/v or dv=m) Mass doesn't change unless you're adding more water molecules or taking some away (ie, chipping pieces off the ice cube). Therefore, with mass not changing, a decrease in volume would mathematically call for an increase in density. Or in the case of water freezing, the increase of volume calls for a decrease in density.
3. Water doesn't compress when frozen, it actually expands (unlike most known substances). If water got more dense when it froze ice wouldn't float in your glass, glaciers and ice would sink to the bottoms of the oceans, oceans would freeze solid, and we'd all die.