"Caps Lock and Num Lock LEDs blink continuously, can't get to BIOS"に関する回答Check your ram modules. It is either loose or they are dead. Remove the Ram modules, wipe it with a lint free cloth, put it back in and see if the laptop is working. If not you will have to replace the ram module(s).
"Do I really need a anti-static strap/mat for dismantling a desktop?"に関する回答Not really. Just disconnect all power to the desktop atleast 5 minutes before you take it apart.