Have you bought the Heavensward expansion? The last quest of ARR is Before the dawn and after that if you have the expansion it should automatically show up in the top left corner on the MSQ quest bar. I did look at your gear, but seems like you're missing some gear story gives you so are you sure you are finished with the MSQ? Also quest always open up for all jobs, unless it is the jobs own quests, or the level of the job doesn't match the level of the quest.