Major Anachronism alert! The Rosary was not popularized until the 13th Century, so you'd only be off by about 12 centuries here. The Rosary does not define the presence of the Church. It is not the defining element.
The Church also does not comprise Mary 'Idloators' (sic).
And the Papacy did not "arise" 300 or 600 years after Christ. This is tendentious , and also rests on a false and anachronistic definition of "Papacy."
You need an adequate definition of what the Catholic Church is before you can venture a guess about where it is, or is not.
The Jerusalem council represents the Roman Catholic Church; major misrepresentation alert!
The apostles who spoke at the Jerusalem Council represent the Roman Catholic line of Popes: major misrepresentation alert!
Talk about anachronism.