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I have very similar problems with my 2010 N43, cylinder 2 misfire & 29E1 (Fuel mixture control 2) Do you know what fault code you got for 'Bank 2 Running Rich' ?
When you say 'Engine management light' do you mean the yellow 'increased emissions' warning light?
I only get the emissions light if I leave it idling, if I raise the revs or drive straight away I can avoid it coming on (obv. not a permanent solution!)
I've recently replaced all other ignition coils & spark plugs, seemed to of cured my rough cold idle but this morning detected a slight misfire/lumpiness again, after 10 seconds or so. I've had this problem almost a year (worse in winter) yet I still get about 35mpg, what are you getting?
Was the new injector registered with the DME? how good is your garage/tech?
Could there be a wiring fault to one or more of your ignition coils - or a bad earth?
Also swop plug & coil 2 with say cyl 1 or 4, to eliminate your recent new plug being damaged by overfuelling at some point.
Hope you get it sorted.
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