Nope BIOS can be F1, F2, F10, DEL and a lot of othe rkeys depends. But when we are trying to get into bios at my place and it doesn't tell you we hit all the normal keys. A lot in boot up. Normally one works, never seen one of those not work.
Some tips to try, take the Hds out of the case with them hooked up to the PC ontop of a anti-static bag, boot it upa nd feel it if you feel a click, click its the HD, And considering its booting up I very much doubt its the PSU, you coulld also try a different connector for the power to the HD.