Cool. Now things is starting to take shape :)
Hopefully the last question:
When I use the category link in the menu ( for example shoes) the page correctly displays only shoes. But when I try to filter the selection, for example by price, it filters correctly by price, but it shows all products.
I see that the breadcrumbs go from HOME/SHOP/SHOES before using filter, to HOME/SHOP after using filter.
Is this as intended? It would be nice if I can stay at HOME/SHOP/SHOES even after using the filter.