Hi mate, its annoying I know. We use Farecla G3 in the Bodyshop for all our mopping, Buffing and hand scratch removal. Its easy to use, and can be gauged by using water on a cloth to the amount of cut.
T Cut is good but can actually be pretty aggresive if you don't know the origins of paint.
Farecla can be bought in tubes tubs etc depending on quantity.
If you have a buffer too you can "buff" out some very deep scratches as more often than not its still only the lacquer thats scratched...the paint itself underneath is only 3 microns per layer and normally there is only 3 layers so...9 microns of paint is easily scratched away. What I'm trying to say is once the scratch is deep enough to hit the paint it would basically go straight through into the primer which you will see and feel clearly.
Hopefully fingers crossed for you its only the lacquer and G3 will sort that no problem. Also it will clean up many other items, including plastic light lenses....brings them back to new....
I've been a panel beater paint sprayer for 16 years so feel free to ask, I'll endevour to give you good direction.