If the BIOS is not showing at boot and you've completed the usual no-risk I know of reset noted at the top of the CNET Laptop Troubleshooting forum I have to say the laptop needs repair. But given the likelihood it's the motherboard my advice is to continue using it and plan for it's eventual replacement.
The sleep issue on its own would have me write a different answer but since the BIOS boot/splash screen has failed, that's not good.
I have a 5 year old HP DV5-1021tx and I have a screen problem. This problem became permanent since last year but it only has occasional occurrence before.
When I turn on my laptop, the screen will not turn on until Windows is full loaded to the Welcome screen.
I have notice that since the problem became permanent I have lost brightness control in Windows 7 (brightness slider is gone in Windows Mobility Center or power options) as will as viewing dual screen mode (only the connected screen will display).
I have also notice that hibernation is missing and every time I put my Windows 7 to sleep, when it wakes up, the resolution is changed to 800x600 with black bar on the right and blurred task bar. The display returns to normal when I changed the resolution back to 1280x800.
Can someone help??