Ok this is a lot so I can't tackle all of it but let's see
(1) The wave functions are vectors in a Hilbert space. Functions can form a vector space. The domain of these functions you might as well think of a bit like an index, but continuous. If I have a 2 component vector that's used to represent spin, it can be indexed like psi_0, psi_1. I have psi, you give me 0 or 1, you get a complex number corresponding to the probability amplitude. If I have an infinite-component vector I'm using to represent the position of a particle, you can index it with psi(x=something). I have a psi, you give me a something, I give you a complex number.
(2) Any time you have a question about QM, ask the CM question first. Where is the color of the bouncing ball I'm modeling incorporated? Well, it's not being modeled, so we needn't incorporate it. Ultimately if you have multiple properties you want to represent, you can take the tensor product of the hilbert spaces that model those properties. I have a hilbert space for the position space, and I have a hilbert space for the spin. You just stick them together with the tensor product.
(3) That's the theory and it works in the lab. I don't have a much better answer for you here.
(5) The point of superposition is that h indeed is a valid state of the system, to say nothing of how you'd actually construct it. I don't know how to say what you want "in general." All you've done is make _some_ new state.
(6) I can't figure out what this means -- I think it's not even wrong. You can never know the wavefunction of a system without having several copies available or having some strong constraints on it.
(7) When you detect at f you've collapsed the path of the electron to the path along which you've detected it traveled. If you know you've sent the electron and you get no click on g, then you know it's on path f.
(8) The wavefunction is basically in your head (according to my religion.) It doesn't really "propagate" so much as help you predict what will happen. If you like -- yes, causality propagates at the speed of light. Really we should say light propagates at the speed of causality, and the wavefunction behaves the same. In the end, once all participants are brought together to compare answers, both QM and relativity ensure their answers are consistent.