How to display related posts by timestamp and category

Hi everybody, I’m trying to find the right way to:

1) display a list of post with the same timestamp of current post, in the same page

2) insert a link, in the current post page, to an archive page with posts of the same category of the current post

here you can find a screenprint of the result that I would get

I hope the solution to my problem could be usefull for many other wordpress users.

Thanks in advance.

Dimitri