Interesting diagnostic Fella. Personally I think it's Fecked.
If you search for laptop repairs on google you will find a number of companies who offer a tech service for repairing this sort of thing. My personaly opinion is that a matched bettor should never comprmise on IT set up, you don't want your machine cutting off in the middle of an unmatched bet - it could cost you hundreds or even thousands. You don't need a top spec PC but you do need something reliable and reasonably quick. I would be rather nervous about placing bets with a machine that I had to "hit" to get the screen to work.
ahh tell me about it i only paid £500 for this a couple of years ago as its an 18.6" screen 4GB and runs @ 2.1Ghz its been awesome to use but has developed this annoyingly over the last few months. If it ever did go tits up completly id hook into my TV or other laptop, but i do agree i need to sort it out sooner rather than later