I can't say for a fact that one of those pictures isn't bryopsis but they aren't clear enough for me to be able to tell.

Hair algae will grow anywhere in the system if given the nutrients it needs and light. That's why I say having it growing in the sump isn't a bad thing as it is using up the nutrients which will help prevent it from growing in the display. Hair algae is in the system whether it is growing or not so it's not one of those things you have to worry about spreading. You just have to worry about giving it the conditions it needs to grow. Chaeto starts slow but once it starts to grow it will out compete the hair algae for the food and if the chaeto is in the same area of the sump that the hair algae is growing it will shade the hair algae from the light and cause it to die off from lack of light.