What i figured out:
*) PQI quests spawn for class/race/badge (last i really do not know) for dungeons where you have these not
*) give good gold
*) stay open long as you don't finish them or die in them (retirement seems to be ok)
Question:
If i die, is this particular PQI combo locked for all times. Or can it be given sometime in the future (if you don't have finished the dungeons with either the class and/or race)