I hope your computer is still under HP waranty ... if that is the case than 25% of your problem is solved...
If your laptop has an Nvidia video card then it may be that your video card has died.
Nvidia and HP have acknowledged that some of the GPU chips built for specifc HP laptops have problems with heat control and will eventually fail.
This with the warantee, you may be able to get a free fix... provided you can prove the machine is truly yours.
I think ATL does the service work for HP in Jamaiaca.
You should take it to ATL or another reputable service center and they may be able help you further.