I went to the doctors yesterday and told him I have social phobia and depression, he gave me a prescription and the name of a therapist.

I'm on my parents insurance and I don't want them to know what it was about. my questions are
1) Will they find out that I went to the Doctors?
2) Will they find out what it was about?
3) Will the insurance company know what it was about, and do something like increase health insurance cost

I'm thinking of paying for the therapy and medication out of my own pocket so nothing else is know by the insurance company/parents. Will this work or is it already to late?

Thanks