As for fixing the model of its "missing" polygons it's a simpler but more time consuming process. First you'll want to at least be able to see which polygons have inverted faces so enable backface culling and press F4 to see a wireframe over the model which allows you to see the location of each polygon. Now deselect the model and it should look something like this:
http://i897.photobucket.com/albums/ac172...83e759.jpg
Each part of the model is a different color to enforce the idea that they're not connected which works well if you're ever modelling something with many parts. Select the "modify" tab which you can find here:
http://i897.photobucket.com/albums/ac172...a8f31a.jpg
If the model is deselected or more than one object is selected, nothing will appear in the modify tab. Instead you have to select a single part of the model and work from there. I'll select the feet. Now select the "polygon" tool.
http://i897.photobucket.com/albums/ac172...9efd30.jpg
With this you are to select each and every face of the object that is backwards and flip it. A tip is that you can select multiple faces at a time by Ctrl+clicking. If you select the wrong face which is obvious when you do because the entire face will be highlighted red, simply Ctrl+Z which is the universal undo hotkey. To flip a face, you want to select it or multiple, right click, and click "Flip Normals". Now the polygons are facing the correct direction.
http://i897.photobucket.com/albums/ac172...89821c.jpg
Do this for the rest of the polygons. When you get all of them on one part of the object, you'll want to deselect the polygon tool by clicking on it and deselecting the model before you can start working on another part. Once all of the backfacing polygons are flipped, volla:
http://i897.photobucket.com/albums/ac172...7d6a59.jpg
Note that my model looks this way because it's faceted. Faceting your model unsmoothens all surfaces while checked but it's also another way to make the model visible; you just won't be able to enjoy the full product until all faces are flipped. It's unnecessary to use all in all but if you're interested, you should be able to see the option in the material editor as a checkbox. It may not work if the faceted material is not applied to your model.