I see that I can get "Data Lists" page by a link "share/page/data-lists" but buttons "New List" and "New Item" is inactive there and I can't add new List. In all tutorials describes situation when data-lists only on site. I use "Alfresco 5.2 community edition".
User need to have specific role on particular site.If user does not have write permission on site, than user can not create datalist item inside datalist.Assign permission , you will be able to see that button is active.
Yes its possible, but the default alfresco UI will allows you to store it on specific location only.If you would like to change the path, you need to customize the it.Or create a new code(webscript) for CURD of data list which will allow you to save datalist item on new place.You need to make changes in UI as well/