All beautiful quilts! On the one with the ragged ends, instead of cutting them down I think I would try to sew a long rectangle of backing to each end and then try to like applique the ragged edges down to it in order to stabilize and save those ends.
I really like the bear, too! I have a badly deteriorated quilt that is literally big holes in places, so would like to make a bear from the salvageable parts of it. Did you have a pattern?