MH370 Curved Track / Arc to southwest...Isn't this also affected by the Earth's motion?
Not significantly. The aircraft flies in the air. The air moves over the earth and takes the plane with it. Of course wind is affected by the rotation of the earth, but there is little direct effect of Earth's rotation on the motion of the plane. The coriolis forces have a negligible effect on the aircraft's track.  

The Inmarsat satellite used is geostationary, so it rotates as fast around the earth as the earth around its axis. The nett effect is zero.