Theres a path 13 that is a nonzero'ed box in a box thats odd so lets delete that, But the problems the style def of the gradient.
If you open the files in notepad or the like you can see <style>.c{fill:url(#b);}</style> then the actual gradient, Which GT doesnt like. The fill should be at the end of the path data. You can delete the <style> section and just add fill="url(#b)" at then end and it works.
Gradients need to be very basic for GT to allow them to render correctly, Im not versed in which button you need to check to make Illustrator put its duck in order, I imagine its in the export options somewhere. (Trying to google options dropdowns and their effects when I cant fiddle with it is pain)
Edit: Huh, why do I find options 5 mins after I post. I think the export styling needs to be Presentation Attributes.