Welcome to Azeroth, and to the regularly scheduled confusion of a new player hitting 120! 
First, I have to mention that you are an Alliance on Draenor. Since you’re in what I think is the only sizeable Alliance guild on Draenor, I presume you know what that means.
I understand the disorientation on hitting 120. I was recently through it with another new player. Sorry, I’m just not logging on enough to buddy up with anyone, but I can direct you to some resources.
First, feel free to ask any questions here. Someone will answer. If you need something specific, I can log in and help.
Next, join the community Scared of Dungeons
They ARE NOT a teaching organisation, but they are very nice people who schedule events, some of which you can participate in. Don’t beg for help, but introduce yourself, say hi, be chatty and friendly! 
Now, some things for you get be getting on with meantime. It’s always nice to have a clear plan of things to do.
Here’s the list of stuff to do to unlock flying:
You want some starter gear. As a newly-dinged 120, you are pretty weak. You want to get item level 400 and above items in every slot. The easiest way is to go to Nazjatar and start questing there.
To enter Nazjatar, you must have unlocked World Quests. I don’t know, but from a quick look at your armoury, I don’t think you can have unlocked them yet. That’s a big hold-up for you, and I would make it the priority to get that done, because it opens up a whole lot of quest options for gear and War Resources.
You have done your three Foothold quests on Zandalar, and opened Island Expeditions, which is good.
To unlock World Quests, you also need to do the quest
which requires doing enough quests in each of the three zones to get Friendly reputation with the local faction.
So, if I’m right, take the starter quests available from the map in the Harbormaster’s Office to begin Tiragarde Sound and Stormsong Valley quests and get on with them. It doesn’t take long to get your rep up to Friendly. Then Halford Wyrmbane on the Ship should give you the Flight Master’s Whistle, and you can open World Quests and Nazjatar.
ASK AGAIN if we can help more!