We don't have NHS here in the States but we have insurance and that can be an equal pain. The insurance companies share stuff and there's pre-existing conditions, etc. and they get to decide how "sick" you are and/or how much therapy you get, not your doctor/therapist. The therapists often exaggerate to make you look sicker so you can get "enough" therapy. I was fortunate and could afford to pay out-of-pocket so there was no one involved except my therapist and me. We have a silly quote here in the States, "I'm from the Government and I'm here to help you" which means, "Run for your lives!" :-) and is kind of what your Dad is saying; if it can be mucked up, the Government will be able to do it, they can't help and do things right for themselves, what chance do individuals in their clutches have? They want to collect taxes is about all they're good for.

Were I you, I'd find a psychiatrist and get a whole medical evaluation/education; whether meds could help, what kind of therapist might be most helpful for your problems, if he has any suggestions of one, how much different private ones cost, other programs, etc.