When exporting from 3DS for Poser you want to export in OBJ format, and make facet shape quads (in export options). 

It's even better if you make sure that you collapse geometry before exporting. I don't remember correctly if OBJ export automatically collapses all modifiers, or if it simply skips items that it can't descrive in OBJ or 3Ds format. It's been a long time since I tried exporting uncollapsed geometry.

Another thing that may be happening is due to poser not displaying backfacing faces in preview. Hard to tell from the pic if there are rally missing parts, or just backfacing faces.
They will render, but no display in preview.

HTH :)

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