Do objects beyond Saturn move faster than light?

Yes. In a geocentric universe, anything beyond Saturn must travel faster than light to go around the Earth once a day. General relativity allows it, and those objects do not shrink. Saturn is so far away that, to circle a fixed Earth in 24 hours, it has to move at about the speed of light. Everything farther out moves faster. Einstein himself admitted this: because general relativity cannot say what is fixed and what is moving, it has to allow a universe turning around a fixed Earth, and that means speeds many times the speed of light. The light-speed limit belongs to special relativity. General relativity has no such limit. Near the Earth, light always goes 186,000 miles a second, because no great gravitational or inertial field acts on it. Millions or billions of miles out, a rotating universe produces tremendous inertial fields, and those allow light and material bodies to exceed that speed. Modern physicists accept the same thing when they teach cosmic inflation. The objects do not shrink. Shrinking comes from length contraction, which physicists invented after the 1887 Michelson-Morley experiment failed to show the Earth moving. They claimed the instrument contracted. Nobody ever saw the contraction, and nobody has proven it. It exists to preserve heliocentrism.