You are certainly level 100 and you can't go to the broken islands or if you went there you didn't find any quests.

To go there it's very simple, first of all, make sure you are at least level 100, if you are, you have to go to your class area which is in Dalaran which you can go to by using your Dalaran hearthstone.

You can find your class domain on this guide:

https://www.wowhead.com/unlocking-and-directions-to-each-order-hall-guide