[chittychittybangbang]

Hopefully others can comment on the buzzing that gets worse as the engine warms up. Normally the engine gets smoother as it warms up.

It's definitely not normal for a diesel. If you were lugging it the DSG should upshift.

 

[chittychittybangbang]

Normally vibration through the floor or the seat and not through the steering wheel is rear wheel/tire related. What brand/size tires do you have?