No. The whole material is procedural. No textures needed.

Yes, you can bake the procedural results into a texture page. To do this please use blenders internal texture baking system. I have prepared a small tutorial video on the Documentation page for beginners how to bake textures.

Following information can be baked into a texture:

• Color information
• Bumpmap information (Greyscale image)
• Normalmap information (Tangent normalmap)

You don't need any texture coordinates (UVs) to use this material. The UVs will be created automatically.

CW Eye doesn't need a special model. It can be added to any meshes. Of course it's still representing an eye and works best on spheres...