The body of believers (catholic) came into existence on Pentecost.
The Roman Catholic Church came into existence 3 centuries later, and was already coming up with some really weird doctorines in the 4th century.
Correct.
The Roman Catholic Church came into existence 3 centuries later, and was already coming up with some really weird doctorines in the 4th century.
Incorrect. The Roman Catholic Church came into existence around 75 AD, when St. Peter arrived in Rome.
Where I believe you are confused is that the Catholic Church is the body of believers. There have been heresies that have resulted in schisms many times throughout Her history. The one that affects most Americans is the heresy that resulted in the schism of the 15th Century. While it's clearly not the fault of those, centuries later, who have been erroneously brought up in a paradigm that is upside down, history clearly demonstrates the actual facts of the situation. But, in fact, the Catholic Church, as you indicated above, is the whole body of believers. Because a relatively small portion of that body has chosen to separate themselves from that body doesn't change that fact.