Samsung trouble shooting

Almost certainly you have a broken screen. Replacement screens run about $140 and are not very difficult to replace yourself. A website that provides these screens and a "how to" video on their replacement can be found at: http://www.laptopscreen.com/English/model/Archos/101%20G9%20TABLET%20TURBO/
Be sure that you are requesting an exact replacement before ordering. I am not affiliated with this website, and am sure there are other sources.
You may wish to search eBay for a used "for parts only" replacement at a fraction of the cost such as this one which last bid was a little over $10: http://www.ebay.com/itm/Archos-101-G9-TURBO-10-1-8-GB-Tablet-no-power-/111364604971?pt=US_Tablets&hash=item19edd9042b
Alternatively, you can buy a nice used one for about $100 at: http://www.ebay.com/itm/Archos-10-1-Android-Internet-Tablet-101-16GB-Wi-Fi-IN-BOX-with-access-501594-/251536519730?pt=US_Tablets&hash=item3a90beb232
I personally would go with the last choice and keep yours for spare parts. Good luck!