Juvecu,
I've done a little research on the Internet since the post and, if the screen is polycarbonate then it will need a very fine grade cutting paste.
I've have this evening just polished the screen with near toothpaste (another Internet suggestion). This has removed the original scratches a treat!!!!! The down side is that there is a slight swirling effect in certain lighting across the screen. I will now investigate further and will experiment with watering down the toothpaste to see if I can it to a clear consistency across the screen.
The screen is a hundred time better that the start point, but there is room for improvement.
Once I've perfected it, I'll post my findings and process