I didn't change the rims and the tyres are also not the low profile ones. When I reduce the tyre pressure (to around 24), the shake reduces. But actually the recommended tyre pressure for my model is 28.
About the steering rack... I causes a metallic sound when worn right? I didn't hear that. But I could feel every bumps and pits on the road. If I drive over a drainage lid thats half outside, the shock I feel is nasty.