To expend a bit on Old_Grey's comment, uploading the .fzpz will give us both the 4 SVGs and the fpz file that ties them together to look over and maybe tell you whats going wrong. From the error message it sounds like Fritzing doesn't understand something in the xml that illustrator is generating. If you aren't getting far enough to create a part to make the fzpz (which it sounds like you may not be), rename a failing xxx.svg file to xxx.fzpz and upload that (telling us it is really an svg file). I believe the upload function has a problem with svg file upload so we have to fool it.
Peter