So youre trying to unlock squadrons and having an issue? Lets look at the pre-reqs again. Minimum level of 47, achieved rank of 2nd lieutenant in your grand company, unlocked the challenge log. In all likelihood, you unlocked the challenge log back when you were roughly level 15(if not, its a quest outta limsa and go do it right away). Your profile lists level 65. To reach that rank in your company you must buy 9 rank ups at a cost of 54k GC seals, you must complete your GC hunting log, and you must complete two quests that have you explore optional dungeons(Dzaemal and Aurum). Once those are complete, go as an adventuring class(level 47+) and talk to the guy from your GC that sells rank-ups. He should have a short dialogue that unlocks squadrons for you. It might not be marked as a quest, but go see him and it should be there anyway.