Hello, I'm TV Tech1 and I'll be working with you to identify and help you resolve your problem.
KDL-37P3020 or KDL-37P3000 are the 2 models that you may own. SE1A or SE2H chassis.
I'd ask the seller if the LCD screen is fully functional, because at £27 that's an easy and inexpensive way to get a new LCD panel.
Here is another one --
The only downside is location. If this TV is worth getting, your scratched TV set has spare parts for the ones listed above. The screen is scratched, but with your spare parts, you end up getting a TV set that can last you a full 10 - 15 years longer. So it really comes down to value/distance versus convenience.
I'd drive maybe 100 km to get those TVs, but not 1000. And transferring a screen on a TV set, is like changing the filter in a furnace. Even easier is just using the TV you buy, and if/when your TV goes bad, you change the boards from the scratched TV to the unscratched TV. That's about as hard as changing the LCD panel.
Take that into consideration before buying a new TV.
The second option is consider selling the boards inside your TV set. Ebay sellers do it all the time.
And lastly...New TVs seem to be around £300
You probably have a different store closer to you, so check their prices.
Those are your options available. I do wish you could descratch the screen, but once it's gouged that scratch is always there.