Hello, I'm Brandon.
I have been working for BMW for more than 15 years.
205/60/16 tires you bought will be OK for the car. It will not rub the fender or cause any light to come on. It will slightly higher but you won't even feel the different.
You will need to go to another independence shop to get the tires mount and balance.
The botXXXXX XXXXXne is the new tires you got won't cause any future complication.
I will be online for another half hour let me know if you have further questions.