If the Earth and the other planets are going around the Sun at different orbits and the sun is not moving relative to the Earth, then the Earth cannot be the center of the universe

I don't need to know the center to come to that conclusion.
That aside, let me ask you a simple question. There is a man in the United States. He is killed by a gun. The policemen are looking for who the murderer is. Does it make sense to focus the efforts on the state where the man was killed or does it make sense to evenly distribute the resources to search the whole world? Clearly one makes a lot more sense. Statistically it might be almost impossible for a man in a jail cell in Russia to have personally committed the murder. Statistically it is a lot more likely that the local gang leader did it. Statistics matter. All "proof" is not equal, especially when you are comparing things like the Earth not being at the center of the universe vs. the faith that it is the center.