For both problems I don't know what to tell you...
But I found you can get support on Adroa on Wordpress.org : http://wordpress.org/support/theme/adroa
Maybe you can try there...
For your products...
You have to go to Products > Categories.
You need to create all the categories you need (ex. group 1, group 2, group 3, etc.)
Then when creating your products you assign them the good category (on your right when creating your product).
So when clicking on your Shop link, you'll see a page with all the groups and when clicking on a group, you'll see all the products this group contains.
Is it what you wanted to do!?