Here is the answer to this questions in FFXIV Patch 5.2. It is also called as the huaca riddle (A Sleep Disturbed). Given below are the answers to the three question so do check it out.
Question 1: On my belly do I crawl. By my strength does prosperity reign within our hall. What am I?
Answer 1: Serpent.
Question 2: With fearsome fang, I travel with the pack. Together we find harmony, and thus for peace, our land does not lack. What am I?
Answer 2: Wolf.
Question 3: Deft of paw, with kin, do I vie. Though sought apart, the betterment of the whole does our efforts descry. What am I?
Answer 3: Opo-opo.