It looks like you have some overlapping geometry as can be seen by the interference patterns of the UV maps on the image below. Shapeways MeshMedic gets confused with such geometry and chops stuff about, sometimes losing structures, mapping or both.
The model has 'border edges' (yellow in the image) - these are the edges of triangles where they do not join anything,
effectively the mesh is open. Shapeways MeshMedic will fix the border edges, but the image mapping information
gets messed up.
The structure of the model can be fixed by saving as an STL file, then uploading it to NetFabb Cloud Service
- download the fixed file, convert back to WRL and apply the textures. (Fixed WRL file attached - no textures)
p.s. If you've found this helpful, please leave feedback on my Modeller for Hire forum post (link below). Thanks