A few problems, opinions appreciated

[Giraffe]

Hi all, I'm hoping some of you can shed some light on a few things.

1) When I start the car, I can hear a whirring noise, and I've discovered today that the whirring is in time with the sounds I can hear from the exhaust, it resonates the same. Doesn't happen when the engine is warm, any ideas?

2) I can hear a whirring noise when I move the wheel, I assume it's the power steering pump, but is that normal or is it knackered?

3) When I do the rear window jets, it comes out the front?

4) The car seems to be overheating when idling, just started doing it, but it's happening a lot now. Someone suggested it could be a winterstat on the car, and now it's starting to warm up, it could be releasing the hot water too slowly?

5) Central locking from the key fob doesn't seem to work when it's cold. Any ideas?

Your help is much much appreciated