I believe you have the M104 engine in your model...same as in my W124.

I suffered from the same ills with mine, and new set of spark plugs cured it.

During the same repair timeframe, had the fuel filter replaced. But I know the plugs were the real problem, because the symptoms still existed after the filter swap.

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2009 ML350 (106K) - Family vehicle
2001 CLK430 Cabriolet (80K) - Wife's car
2005 BMW 645CI (138K) - My daily driver
2016 Mustang (32K) - Daughter's car