As Richard states the Smoothing Tool (part of the pencil) works and you can get rid of many of the points and with a duplicated card in a locked layer underneath you can smooth out most of the points. After using that tool if you had lost the shape you then could use the Direct Selection tool to modify back to your locked template underneath. That's a lot of mouse movement I would just redraw using Pen Tool with guides and your original underneath dimmed slightly.