Model: hp dv5-1002au os: windows vista. processor: AMD Turion. capslock and numlock led blinking constantly.

So there is your screen resolution issue.
For that when you power up the laptop press continue F8 key then enter in "Enable vga mode " then go to control panel and display proeprty then go to settings then change screen resolution to 1024*768 then apply then restart then check .
If you cannot able to see safe mode and other menu whne you press F8 then your Dispaly has hardware issue because your motherbord working fine it gives dispaly proeprly to vga.
If you have vga port on laptop and you have other external monitor you can check it.
Connect your monitor to vga port then if it gives diaplay then some rong with your Laptop internel dispaly screen and if it is in warrenty you can use warrenty they repalced or repair your screen.
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Shut down ur laptop, check any key stuck in the keypad? if not, just clean ur keypad, and switch it on then check, if not then remove the battery, ground the battery terminal in laptop start laptop without the battery, then let me know ok? :-)