China and the US were in the same positions 200 years ago, 50 years ago, and 100 years ago. However, this isn't entirely accurate, as the landmasses are moving at a rate of centimeters every few years.
Yes, they were. Even though there is the theory that the continents are moving farther apart as time passes, in 200 years there has not been a significant shift even though there have been significant earthquakes.