Hi! As to your second question: They should all be about the same. I think the biggest difference in the 3 you mentioned is the publicity and advertising hype one gets over another.There is nothing magical about a Rolex or TAG that make them more accurate than any other watch.....Is a Longines Flagship watch more or less accurate comparing with a Rolex or TAG automatic watch?
As ulackfocus said, wait a month. Let the watch get used to operating on a regular basis and settle in. Consider it a breaking-in period. After that check it again and you'll get a better idea of how accurate it is going to be.