Maximum on Inquisition perks

If you get to the Black Emporium (revealed on the world map) there is a Transformation Mirror there that lets you edit your character. I got there around level 4 or 5...pretty early in the game. It gives you unlimited character editing at no cost.

Those are called Inquisition Perks. You get one new Perk every time your influence bar fills up and reaches a new level.

The main way to get more influence to fill your bar and gain perks is to complete missions. More important missions will gain you more influence than smaller missions. Finding new agents throughout Thedas will also gain you a decent amount of influence. Some advisor missions will also reward you with a bit of influence.