The Eastern Orthodox absolutely claim that an ecumenical council, once "accepted" by the church, teaches infallibly.
You, yourself, believe that the Apostles taught (at least when they wrote Scripture) under inspiration. Inspiration is a higher charism than infallibility, so yes, you absolutely claim that the leaders of the church in the apostolic era were infallible under some circumstances, in fact that they were more than infallible.
I was responding to the observation that other churches have leaders who haven't been altogether moral.
When was the most recent ecumenical council?
When did the last Apostle die? (Hint: Robert Duval doesn't count.:>)
I don't know too much about individual Popes. Which was the last one to raise people from the dead?