Would things stop moving if the universe stopped expanding? And does the universe accelerate at the same rate in its expansion everywhere? Thank you.

The expansion of the universe has no effect on gravity forces which is connected with movement in galaxies. Other forces are much stronger than the subtle force that drives the expansion. It is just that the force that drives expansion is working on the universe as a whole in places where the stronger forces are not present. It has also been explained to me as the space expanding is expanding at an equal rate throughout. I'm not an expert so I'm sure others can offer a more in depth explanation than I can.

Assuming spacetime expands at different speeds at different directions, would Person X (The guy where spacetime is expanding faster)age slower than person Y(The guy where spacetime is expanding slower)?

 

Thanks again.