Hello, adventures!

I have been trying to get the Rank 1 in the Grand Company (Grindania), and mistakenly got all the Hunting logs full (til lvl 50), which is the quest or quests that i have to get to in order to get the next rank so i can buy the Grand Company Barding?

Also, what are the names of the barding that i can buy in the market, i cannot find them.

Thank you so much for your help!