I would add a thin red border and then to make this really pop I would make a black and white checkerboard border. It would look great with squares no larger that 2 inches. Make 3 rows of squares for the checkerboard. Sometimes you can even find this type of fabric if you don't want to actually piece the checkerboard.
I have used black and white checkerboard borders around a number of quilts and they have always turned out special.