Yes, you just open it from Mocha instead of from inside AE.
Sure - mocha Pro will work with any version of AE, all the way back to CS3.
You can either launch mocha Pro as a stand alone app or you can set mocha Pro to launch from AE>Animation menu>Track in mocha. To do this change your user preference in mocha Pro.
mocha Pro can export to AE: 2D Planar Tracking, 3D Camera Tracking, Roto masks and Lens distortion.