For the nine-patch, I would hand applique squares over the damaged fabrics.
For the green and white quilt, I would probably slip a small piece of fusible interfacing (or Misty Fuse, which is a double-sided fusible) into the gap, hand sew the gap shut, then lightly iron to set the fusible (which will reinforce the mended area).
Edit: I would also give the couple advice on how to wash these quilts in the future to preserve them. No machine agitation, and preferably laying out flat to dry. No clothes lines, as these are very hard on quilts.