Is this a regular quilting cotton backing? If so, her tensions are WAY off. Is she a new Long armer? I only have a few customers (and like it that way!), but I always inspect the back as I start, everytime I put in a new bobbin, and when I take it off the frame. I cannot tell if those holes are torn. If they are, the backing needs to be replaced. If not, they may be fixable. Sometimes they close up when you wash it. Sometimes if I have to pick out a few stitches (or ALOT!), I scratch the threads to get them back in place. Let us know what you decide and how it turns out. Wish I was there to go with you for support!
PS there is PLENTY of time to get this done before Christmas.