I think you are hungry because you are not eating a whole lot. You could work a few more veggies in. I understand not being hungry because of the water intake -- don't stop that though, you need the water. But if you are hungry --eat something.

Lot's of people will tell you that coffee has not hurt their loss, but YMMV. I think it's ok, and with a little cream added, it helps me to add fat to breakfast.

Things like putting some mayo on your burger can help you get in some satisfying fat without taking up a lot of stomach volume.