I have had this problem, and solved it as well.
there is a thread already about it i did on it, but i can not for the life of me find it.
on some years of the lt apparently the black inner lining does remove if all screws are pulled out.
on mine this wa snot the case (if you find the thread it has photos as well)
i used a dremmel tool type device and cut away some of the plastic and removed the metal bracket under the plastic lining.i knocked out the rivets and put new rivits in (again if you find the thread even have the size of the rivits to use)i got the retractable cord sticked up at a local car upholster with nylon cord and put it all back together.the rivit that hold the nylon cord together broke in a high gust of wind.
the thread is here some where, you just have to find it. i have tried searching with no luck so far