1)There is no such name or contract between a lawyer and his client until a written terms and conditions made necessary as per the situation.
2) There are no such regulations
3) The fee of lawyer depends on the lawyer one has fixed for the purpose,
4) You cannot find any such reference regulating lawyer's fee or an article indicating the lawyer's fee to taking up a case, it will depend on the lawyer to fix his fee.
5) You can visit the Bar Association of any Court or even high court looking for a list of lawyers but you cannot get the details of his credentials or any other standing details from such forums, you may have to verify the talent and expertise of the lawyer proposed to engage through your own sources only.