Situation A: I always wash quilts before I gift them. Learned that with my first quilt - if there's a spot where stitching is 'iffy', washing/drying shows it to me. Then I fix it. I use cold water, and scent free/clear detergent and add a color catcher when washing. Some folks will tell you to use Retayne, but I've never used it so have no opinion on it. So far, all the washed quilts came out just fine. In any case, a slightly faded quilt is more attractive than a quilt with cat pee in it.
Situation B: I haven't had this problem, but am interested in the replies. My first thought was to put the label over it, and that would work. But maybe you already have the label on, so that may not be an option.
Good luck.