Clicking: Sounds like evap purge solenoid. Check is to remove the engine beauty cover - single 8mm bolt. Pull up then forward. It's a vertical thing with a hose and a plug on it just behind the throttle body. Remove the electrical plug. If that is the noise - well... A new one *might* be quieter. But it's not harmful. Just the sound of a valve opening and closing.
Whirring: Confirm it happens w/ BOTH belts off?
- Pop the connection cover off the alt charge wire and just verify the connection is clean and tight.
- One of the noises sounds a bit sad from the alternator. Check the thing for any freeplay both side to side, and in and out. Spin it by hand and feel for any roughness. A bit of noise is normal because of the brushes. But it shouldn't feel rough like there's a bearing going out. Barring that - some just have noisy rectifiers / loud fans. Hell... My last rig had a rather large aftermarket alt and the cooling on the alternator drowned out all engine noise above about 1500 rpm. Just differentiate between functional sounds and bad sounds. Auto parts store should be able to check rectifier electrical noise/ripple and differentiate if there's a bad diode in there.
- Whirring: Mine does this too. Literally, the throttle body whistling at idle. Can rev it slightly, turn on a/c, anything to slightly change the throttle position and the whistling goes away. Checked fuel trims, no vaccuum leak. Just an oddity. If the noise is present w/ belt off, and fuel trims don't indicate a vacuum leak, can leave it alone. Not sure what the cause is, as not all vehicles do it. Maybe some casting seams or tolerance or something.