Update: [1] and [2] are implemented in the new version which is in the review queue.


[1] Can you give me an example? A web page which you would like to add it using the context menu.
Most form requests are dynamically built by scripts and also are sent as a POST request. This means that it is quite complex to automatically extract the search URL.
A solution will be to add the website from the results page, not from the request (form) page. I can add the page title and URL automatically to the table but they will need to be manually edited. Is this fine for you?

[2] Can you please suggest how to improve the list management? Maybe implementing drag-and-drop for the table rows?
You made me curious. What is the maximum number of rows some people will actually need? I thought that my 15 rows list is big :)