For cutting in Corel, you need the Cut/Plot driver, along with the Production Manager from Graphtec. See their site for both of these drivers. To cut something, you simply place the shape you want cut onto another layer --- I always split my designs into two layers, "Print" and "Cut" --- the cut layer in my example. If you need print/cut registration marks, it will draw them automatically if you select "registration marks" from the application launcher icon on Corel's toolbar. (should be on the main screen by default, believe X3's looks like a rocket...). Plot the design by selecting "Cut/Plot" also from the App Launcher, and remember to select only the layer with your cuttable objects ("Cut"). Simple as that.

Hopefully.
BTW, I've never tried using the print function, perhaps that works just as well. In using Graphtec's drivers above, you
don't have to have an outline assigned. It will cut anything with an outline, visible or invisible, thick or thin, filled or unfilled.
Hope that makes some sense!