“A bishop is the final authority in his chrurch(es).”
Then the Apostle John was not the final authority in the churches he is corresponding with?
“The Apostles were all of equal dignity and no one disciple lorded over others. But they were not equal in their tasks and responsibilities. Some were given to accomplish more than others.”
I assume that you have scriptures to support this?
Were those his churches? Or the churches he was in communion with?
if I remember correctly, +John refers to himself as "bresbyter" and not as someone over other bishops.
I assume that you have scriptures to support this?
Sure. It's self-evident, I would say. There is no instance where one Apostle lords over another. Or one bishop over another.
As for different tasks and responsibilities, +Paul is a perfect example. And +Peter had his path cut out too. +Mark was in Egypt, and +Thomas was in India. +James the Just was in Jerusalem, etc. Different atsks in different locations with separate jurisdictions.