Are independent churches organised in the same way as the mainstream churches?

It very much depends upon the size of the church, broadly speaking yes, but with fewer titles! Like all catholic churches they have the ordained Holy Orders of Deacon (known as The Revd), Priest (known as The Revd, Father/Mother, or the Revd Father/Mother according to choice) and Bishop (known as The Right Reverend). In addition to that there are a number of other positions in almost every jurisdiction which are not Orders but which are jobs. They are Archbishop (known as The Most Revd) the elected head of that group of bishops, Vicar-General (known as The Very Revd) the bishops advisor on liturgical practice, procedure and etiquette, Chancellor (known as The Worshipful) who is the chief legal advisor to the bishops and Judge of the church where necessary and who may or may not be a cleric, and Registrar who is a practising Solicitor and invariably not a cleric.  more