I'm trying to follow your path here.

The 80k Skysteel Needle is what you want. I can't imagine they'd give out coffers for free just for abandoning the quest and starting over, because then people wouldn't be spending 80k gil on them.
My question is, did you actually upgrade it to the final step, the Dragonsung Needle? You seem to be trying to turn in the quest but you haven't said you've done what it asks.