[cdmulders]

Originally Posted by etnsandman

So I inherited a set of wheels with above spec with Fresh Michelin Pilot A/S-3+ tires in 245/35-19 front and 275/30-19 rear.

I believe OEM stock setup for staggered F10 19" wheels & tires (M Sport 351M style wheels, for example) is as follows (my reference link here):

Front wheel: 19" x 8.5", ET 33
Front Tire: 245/40-19
Rear wheel: 19" x 9", ET 44
Rear Tire: 275/35-19.

So, first of all, your tires are too small with respect to height. They should be 40 & 35 ratio tires versus the 35 & 30 ratio tires that you have pulled off of your E60. Your proposed tires will result in the speedometer reading too high and you will not have as much rubber between the wheel and the road as stock.

Comparing your wheel specifications against the aforementioned stock dimensions:
Front wheel: your inner wheel rim will be almost at the same place as stock with respect to the suspension. That is, it will be in the same vertical plane as a stock wheel. Your outer wheel rim will be about 11mm further inbound than the stock F10 wheel. This means that your proposed wheel should clear the suspension and will not rub the fender with the outside of the wheel/tire.
Rear wheel: your wheel (both inner and outer rim) will sit 6mm (about 1/4") further outward than stock. As many have indicated on this forum, 12-15mm spacers are workable for stock 351M wheels at the rear, so you should not have any rubbing issues here with your proposed rear wheel.

Given the above, your wheels should adequately clear the suspension and brakes and not rub on the fenders. I think you should reconsider your tire choice.