Is it alright to stay at Beijing Capital Airport during my long layover?

I have a SFO to MNL flight via PEK with long layover of 15 hrs. Arriving at T3 Air China carrier on both flights (SFO-PEK-MNL).
Can i stay at T3 during my long layover? Do i need to reclaim my checked-in luggage and re-check-in again?

Thanks.