Greetings,
Welcome to the forum.
I am not a HP employee.
Sorry, I can't find your PC's specifications using Pavilion 6000. Please look at the chassis for a HP sticker showing the product number only.
Hardware failure rates increase directly with the age of the PC. I don't know the age of your PC.
Your symptoms suggest a hardware failure.
Hardware failure diagnosis requires looking at each component. Swapping in known good replacement components until you find the bad part.
It is best to have a local PC tech do the diagnosis unless you like to do this stuff and have all replacement components required to find the bad part.
Regards