Until we see some specs, it's anybody's guess. It might very well be inertial compass (e.g. gets an estimate from GPS while moving, and then if no movement or GPS signal is presents, just adds accelerometer data to guess the heading). Unfortunately that compass drifts and isn't very accurate - might be enough for walking and general directions but not 'real' navigation. But let's not speculate

Not directly. If you're moving, you can cheat and use the position difference to guess north/south. If you don't want to cheat, you can, in theory, make some guesses based on the visibility/signal properties of the satellites. That, however is very-very low resolution (not to mention unreliable). For applications as suggested above you would need a FAR more accurate compass.