Also, as you can see, the wall stop at shadow tower, with a whole gap (the gorge) between the wall and bay of ice.

"she probably would have granted his request." Making him ruler of dragonstone would mean Jon is a Targaryen, I doubt Dany would do this.

This books talk about valyrian steel, like the catspaw dagger. How is this related to Arya and NK?

Yup. After the battle of Winterfell, she controls the iron islands (taken to Cersei's side), Dorne, and part of Stormlands thanks to Gendry, while Cersei needs to pay the golden company every day. Time is definitely helping Cersei...

@Geobits Flea bottom is a poor neighboorhood, under Rhaenys hill, while it seems that wildfire has been stored in stone houses near the red keep, at Aegon's Hill. Also, the red keep and several gates were destroyed without any wildfire.