Whoops, I gave you an outdated audio driver and it still installed, sorry for wasting your time there. Install this one again.
The Ethernet driver did not seem to update, though dxdiag doesn't give me any driver versions for most of the devices. That's okay though, whatever the default driver is will work just fine. Since it's a laptop you probably connect only via wireless anyway.
Drivers are fun, huh?
The Windows BIOS update utility will work fine. Generally the only problem you can run into with BIOS flashing is when you lose power while flashing, which is impossible given your laptop has a battery, and you must flash while the laptop is plugged in.