1. It is unusual for someone to be shuffled between so many hospitals in such a short time. The point appears to have been:
(i). to demonstrate to me their power: I was left in no doubt they controlled these hospitals. This would have been expected to dismay me so I might cease to insist the Campaign was real,
(ii) to show me I would not find a psychiatrist that could not be got at, and 
(ii). it was probably thought people would be less likely to believe a campaign possible that involved so many hospitals.