Is Universe homogeneous or heterogeneous

Answer 1

Heterogeneous because it is composed of many different states of matter (solids, liquids, gases). These can be physically separated easily.

This question needs more explanation. You could argue that it is both. All mass is energy, for example, and so the universe is made of energy, radiating in all space. It is divisible, however, into the elementary particles of which there are many. From there you could also argue that the universe is comprised of two different types of particles: those that follow Fermi-Dirac statistics and those which follow Bose-Einstein statistics.

What about dark energy and dark matter? How do these play in?

What about the necessary for confinement of quarks?

It's a very large question you are asking. Try and narrow it down.