Stealthee,
I have an 08 and have experienced both issues you are describing and I've likely tried many of the same things you've done to try to find the noise. In regards to #1, try turning the wheel to 3 o'clock and wiggling the wheel in the same manner there, does it exhibit the same noises? I will try it on my car next time I am in it. I was really worried about this issue on mine for a while but eventually I decided that this is not a normal thing to do in a car and stopped worrying about it. It drives fine, and doesn't make noise under normal turning conditions - so I just stopped wiggling the wheel at a stop, problem solved. If anything, I decided it is wear or normal play in the rack.
In regards to #2, I think I have had a similar feeling. I would describe it as drivetrain slop - similar to a motorcycle when you are engine breaking and the tire is forcing the engine to turn faster - when you jump on the gas and now the engine is forcing the wheel to move faster, any slop or flex in the drivetrain is made up in a split second and can result in a bump or bang. This probably happens in a manual transmission car as well. In my auto GP, when I'm coasting and jump back on the throttle I get this feeling sometimes especially if I don't ease into the throttle. I don't know much about auto transmissions but there has to be a similar amount of slop in the drivetrain and I have chalked it up to this phenomenon. Just as a test, start off in 1st gear and just drive around a bit getting on and off the throttle without much finesse. You'll probably feeling a lot of bumping as you get on and off the throttle.
I wouldn't worry about either issue if your can feels tight and drives well.