Analyzinga Rhino object is an important part of the process. I find that the quickest way to check whether an object is a solid (closed polysurface) is to click on the details button in Properties. I leave this open and docked on the right side of the screen, with the Layers panel doc...
Are they single surfaces or are they joined into a polysurface? Can you put up a screen shot of what you're talking about? Unless you use Box uv mapping, you're going to have to apply a separate Surface uv mapping to each surface and adjust the tiling. If the tile options ...