I don't know of a checklist per se but it shouldn't be too difficult. where are your materials and components located for SU8? Are they under SketchUp's Materials and Components folders? If so, you can either link to those local collections where they reside or copy them to SU2013's folders or even put them somewhere else. Then just use Open or Create a Local Collection from the Details menus followed by Add to Favorites from the same menus.

The only content you should avoid copying directly would be plugins. Download fresh copies of the plugins you use.

Regarding your component issue, as I wrote before, the materials used on the component are part of the component's SKP file and do not depend upon the original texture file's library location. If it did, it would be similar to Microsoft Word which depends upon the viewer having the same font as the author or the document for proper viewing. SketchUp files are more like PDFs in that fonts are embedded in PDF files.