yes it goes, i have a 560 ti Twinfrozr2 with a p8z68-v motherboard.
Graphics card are compatible with any motherboard that have a PCI-E Slot compatible, for best performance you need at least a x16 slot in the motherboard, p8z68-v pro have it, so you are ok;
Yes it will, but provide us your system specs if there is another one which is actually not compatible. We are actually just want you to know if it'll be fine or not.