Name is wonderful.
I would line the basket block with a piece of the white fabric used in the block so you won't see through it.
I would do a grid for the quilting. Use a ruler and draw through the corners of the quilt going from corner to corner in a X design. I use the grid on some lap quilts I make. They are soft, easy to quilt and great design to go with the type of design on your top....
I use embroidery lettering on my machine to sew out my labels. Then I put a binding around the label like it was a little quilt. I hand stitch the label on the back, then make the sandwich and do the quilting so the label will not be coming off.