Yes to all questions. Power Attack is something you choose to apply once you start making melee attacks in a round and its bonuses and penalties then last for the whole round, even off your turn.
CMB is basically another type of Attack Roll, so any bonus you have that could be applied to whatever weapon or limb you make the CMB roll with will apply. On another note, certain bonuses and any penalty to a creature's AC will also apply to its CMD.