[320icoupe]

Got myself a 2009 320i a month ago, drives beautifully but car shakes violently at idle especially in cold mornings.
Obviously heard about the infamous coil issues and BMW changed them for me for free. New coil pack did not make any difference at all.
Today the shaking got even worse, RPM was all over the place and the engine management light flashed and then went off. Anyone experienced a similar problem? Checked codes and got:

2AAF - Fuel pump, plausibility
29DC - Cylinder injection cutout
2A2D - Fuel low pressure system fuel pressure
29D0 - Combustion misfire on cylinder 4

Mechanic suspecting spark plugs. What do you think guys? thanks.