Like I said, there is a huge discussion on this issue in the philosophy of science. My guess is that most of your arguments above have already been discussed extensively.
Grünbaum's book is considered a classic on the subject and might be a place to start (I haven't read it, though Gellner refers a lot to it). He is critical of psycho-analysis but rejects Popper's view of it as a pseudo-science.
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