I finished this quest last night. After you find the basic equipment item corresponding to the quest items, you need to double click them, and they should start the individual quest (if i recall) for that piece. One makes you wait 30 minutes and the…
I'm on Galicia. Same deal. Frankly, I don't see it anywhere in the cash shop, in rewards section or otherwise. Request that after you fix this, you extend the date of the event as we are losing time by not being able to enter.