Did the Antikythera have the Sun as it's center?

No. The Earth is the center, not the Sun. The antikythera device preceded Tycho Brahe, Copernicus and Johannes Keeper by 1500 years and Ptolemy by centuries. 

https://en.m.wikipedia.org/wiki/Antikythera_mechan... 

Since the antikythera replicated the movements of the planets, Sun and Moon and predicts solar and lunar eclipses and the saros eclipse cycle ( please Google or Bing "saros cycle*) as SEEN FROM EARTH, that means, logically and objectively, that is is EARTH centered, not Sun centered. The Sun is NOT at the center if Earth's slightly elliptical orbit. The Sun is at one focus of of Earth's elliptical orbit.

The device is just a clock that predicts the positions of planets and eclipses. It's not like the epicycle model of the solar system, it's just a clock.

Of course it had, Only the Church believed in a Geocentric Universe

Even up to the Middle ages

Ancient Greeks knew the sun was at the center.