Luster Survey in the Approach
This is a pretty standard "go out there and get stuff" quest. We'll need Paragon's Luster (10 of it), which can be found just about anywhere. It is in high supply if you search along the canyon ridges (it was also at the Forbidden Oasis, if you've been there). The Lazurite is a bit harder, however you can find plenty of it in the mines to the south (enough to fill this order, if you get a good harvest drop).
Once you have the materials, turn them in to complete the quest. You will also unlock the next one, "Lazurite Survey in the Approach"
Lazurite Survey in the Approach
This quest is another standard "go get stuff" quest. Lazurite is the hard ingredient here, yet again, but you only need 10 of it. It is found in the caves and in the mountains in the southwest of the area (Shimmer Stone Mine). Paragon's Luster is everywhere, which is good since they want 20 of it this time. Yikes...
Once you have the materials, turn it in to complete the quest.