Those black things are most likely due to one of two things:

Either you have some unconnected vertices in the model (I've had a similar thing happen with one of my models because of this) or,

There are lots of long thin polys in the model.  Poser tends to go crazy when it encounters those.  You can try making the polys not so long by halving or even quartering their length.  Yes, your poly count will go up but it should render correctly.  Another solution is to turn of Smooth Polys for this model.  That should also make it go away. 

Coppula eam se non posit acceptera jocularum.

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