(I first posted this in the crafting forums, but realize this might be a technical issue, so posting here as well.)
I am on Adamantoise, and the character's name is Lapsed Pacifist.
I recently reached both lvl35 and then a couple of days later lvl40 when handing in Grand Company quests. I got the message that new Carpenter quests are available, but when I went to the guild there was nothing. I haven't had the same problem with my other crafters and gatherers. I tried to do both a forum search and internet search on this (I noted that others have also searched on the internet with this question, but couldn't find any answer), but without any luck.
I have just returned to the game after several years away and started a new character.