"About the Cyclosporine: does every psoriasis/eczema patient respond to that treatment? Does it always cause the condition to get better?"
I don't think it does always cause the condition to get better. My friend who has very extreme Psoriasis has tried every drug and topical there is. None of them cure her psoriasis, but some of them improve the symptoms noticeably.
Currently she is on Enbrel injections and a prescription topical ointment (I will ask her the name). This combination gives the best result she has ever had, but it is not a cure.