Your #1 is great. I do believe your idea to put all the circle here is the idea of spine shape. However it is hard for people to image for the first time seeing, but it is fine. However I would expect to have a hospital sign in the logo and as I expect the blue is the main color, if you have a green here, now the logo will have 2 main color blue + green which I do not expect to.
your #8 is great too, however for the first time I saw the logo, my eyes focus on the cross first, not the word PROCHIRO. But I would like to go conversely as people would see the word PROCHIRO first, and then the cross or other else second.