So same situation happened with me, however, we tried to restore the headlights and instead ripped the newspaper and caused scratches ourselves.
I was going to go for T-cut too but the halfords employee stopped me. Insisted I buy Maguire's, however, I thought it could be a sales trick but he wasn't the one serving me.
I was told T-cut is like milk when it comes to this and the only reason it's popular is because of how it came to the market first and at a low cost.
Depending on the scratch, you've either got a damaged primer or completely lost paint (I'd assume from the keyed marks you'd have lost paint) For the normal scratches which haven't ripped paint off, I'd recommend this
https://www.halfords.com/motoring/paints-and-body-repair/scratch-repair-and-paint-restorers/meguiars-scratch-x-207ml-538348.html
I'd recommend buying it somewhere cheaper if you're in no rush, e.g ebay or something.
You'll need a rag (I got the halfords £3 pack of rags) and you'll have to squirt a good amount on the rag and rub the scratched surface in circular motion with a good amount of strength. You won't see changes until 10 - 15minutes into the scrubbing, but I promise you, it'll go. Mine went perfectly. Again, depending on the scratch. If you could show an example of a few different scratches you've got, I'll let you know which ones would be possible with this fix.
In regards to the deeper cuts with paint missing, I know there's a few ebay sellers who sell specific paint coats as a pen. They're the correct colour, however, the pen itself is awful, poorly put together and you'll be loosing a lot more paint than you would want. So I'd avoid using their tools and use something of your own, again I could of just got a defective product but who knows. To find your paint, just pop the bonnet open and at the top left corner of the bonnet from the inside you'll notice a 3 digit number and maybe a letter, just look for the word code.
