Please help all of you patchworkers out there!

I won a vintage patchwork quilt on eBay on the weekend, and have been chatting to the seller over email. She mentioned that some of the squares are worn / torn and in need to some minor repairs, which I knew before I paid for the item.

There is no back on the quilt, it's basically just a whole heap of squares sewn together.

What would be the easiest way for someone who doesn't do a great deal of sewing to fix this up?

Click here for an example

Could I just buy some scrap material and sew it to the back of the damaged squares? Should I glue some material behind the gaps?

I will be using the quilt on mine and DH's bed over summer as our feather doona just ends up on the floor.