Yesterday while on my Priest, I did all five TW MoP dungeons for the weekly, but I did not get the quest that you turn in for 500 TW badges during any of the runs. I went to the Timeless Isle in case I already had the quest and just didn’t realize it, but there was no ? marker on the TW vendor.
Today, I did a single TW dungeon this char here and got the quest and turned it in for 500 TW badges, but when I tried again on my Priest, I once again did not get the 500 badge quest.
Is there some series of requirements that need to be met for the quest to appear? Like, does it have the be the first TW dungeon of the day? Do you have to defeat every boss in the dungeon? Both of these at the same time?