Use the shape select tool to select the head shape, uncheck the Stroke option in the style pallete and you'll be left with the filled shape drawn over the original black lines.
While the shape is still selected, go to the Draw menu and select 'lower to back', the fill will then go below those original black lines. Use the shape select tool to select those black lines and hit delete.
Turn the stroke back on and you've got a clean head shape without the black outline.
As mentioned above, do your drawing with the autostroke option switched off and you won't have this problem.
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This should explain what's going on and why drawing with autostroke switched on isn't a good idea.
I didn't get to where I am today.