If you press the zero key (on the keyboard) in AM, that'll be what we want. It's the wireframe shaded view.
You could render out such a view by setting it in the render options, but an easier way is to press the "Print Screen" key on the keyboard. You can then open a new image in your favourite 2D software and press Control V to paste the screen grab into the image. Then save as a jpeg.
As for your original question, it looks like you're joining too many splines into the one cp. The above tutorial should help with that.