For me, the name thing would not be a big deal - I would merely think them an idiot - not because the therapist forgot it - I don't think the woman independently knows my name after 5 years, but because they were too (stupid, distracted, scattered etc) to figure out how to check it before I came in that day or write it down on the calendar correctly.
The group would not bother me because I simply would not do it and the medical issues are just not my problem - knowing me I would tell the therapist I would expect them to cancel if they could not do their job that day.
The authentic/I am not perfect ******** would bother the crap out of me and I would not be willing to deal with that all.
I saw nothing that seemed like you were expecting perfection. I would try out others.