if you think it might run it is always a good idea- and the red needs to be rewashed- and rewashed until it no longer runs- some never stop-
until they are a pale pink-reds are hard ones.
if you don't want to pre-wash all of your fabrics you should at least test for color fastness.
i've made many quilts that contain some washed and some not washed fabrics- has never caused any problems with the finished quilt- only when one of the not-washed fabrics wound up running after all-