Paint.NET :: How To Eliminate Checkerboard Effect When Resizing Yearbook Portraits

I've scanned some of my old Yearbook portraits for a project I'm working on. These are, as you can imagine, those small, black & white yearbook photos that are arranged in rows alongside your fellow classmates whose last names start with the same letter as yours.

Naturally, these photos are rather tiny. So I used PDN to resize them to appear larger. Unfortunately, what I end up getting is a recognizable photograph of a younger me, but there appears to be a "checkerboard" effect whereby the horizontal lines appear purplish-blue against a grey background while the vertical lines are somewhat faded. I'm assuming this is clearly because of the fact that I had to resize said photo by several hundred percent.

I'm wondering if there's any way to get rid of that checkerboard effect.