how to create page with k2 like this page

Looks like a rather complicated page. K2 Tools in the archive mode will give you the month by month view (which will have to be styled)
Although it seems only to work with one category. You might try a category structure and see if it will display the subcats items as well.
There will be other obsticles to overcome in getting that page as your link s show as well

Hello,

Apart from the custom filtering extension, which you can use 3rd party extensions, the rest can be achieved with a K2 category item and some templating. getk2.org/documentation/tutorials/174-templating-with-k2-and-the-concepts-of-sub-templates