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Note that the dates given for his reign don't match those in the Popes listing. Can someone resolve this?

The Catholic encyclopedia agrees with our pope-list, 575-579. There was a delay in consecration, but that might involve 574, not 573. I'll put it on my list to check when I get over to the library. Catholic Encylopedia entry for Benedict I

Pinkunicorn

How is it decided what name the pope will have?

The elected pope chooses his name.