Pagination for responsive e-commerce website

I'm working on the pagination topic for a responsive project. I'd like to have some feedbacks from you regarding this solution.

Scenario:

• pagination for the search results page;
• pagination for category listing page;
• we can't use infinite scroll because we have on the top of the listing (different adv for each pages) the special offers from our sellers (they pay for this feature);

Questions:

• make sense to hide the page numbers in the XS view;
• make sense to hide the prev and next links when the user is in the first/last page?

Mockups: