Don't give up. I'm not sure about what you mean by the "center seams are all stretched out", but I assume the center cut you made for the back and the circle at the top? The stretch happened because the cuts are not on the lengthwise grain. One way would be to stabilize that edge with a basting running thread along the edge and slightly easing it in to fit the binding. Stabilizing with fusible on the back ( before putting in the backing) would also be way to hold things together. And remember that once those gifts are piled onto the skirt no one but you will know that you had difficulties.