Does my right to associate covers my right to choice of school?

Yes. It has been declared that the right to assemble freely and associate with others includes your choice of schools. However, you must meet the admission criteria of the school and abide by the school rules. There was a particular year a government circular was issued relating to the closure of private schools and indicated that only public schools would be allowed in the state, it was held to be contrary to the right to peaceful assembly and association.