I can answer some of these questions...
From what I've read, neutron stars don't have any internal structure. It's just neutrons, all the way through. The degenerate and normal matter layers are just a few meters thick on the surface. So it's something like 99.9% plus percent of the star's mass is neutrons. This is because nothing else can possibly exist inside there.
It's wierd to think about them. A neutron star is essentially a titanic atomic nucleus, which is held together by gravitational force instead of the weak nuclear force. -- The ansible
Sorry, it was made in a haste. Iron layer is a thin crust of metalic iron, by quark matter i mean a soup where not even individual neutrons exist, but a mixture of quarks of different kinds. "strange" matter is matter partially composed by "strange" quarks. What i tried to emphasize is that there was a comtinuum of compositions inside a neutron star, and that telling "a crust of degenerate matter and and interior of neutronium" was an oversimplification that also hided the fact that there is no aggreement respect to what's in the core. AN