Oil and antifreeze in winter

Hello together, my car has always been driven in relatively warm areas of Germany (area Stuttgart) and my car dealer has taken care of oil and frost protection, but now I have the fear that my settings here in Bavaria are no longer optimal. If I fill in new antifreeze, I have to replace the old solution. Should I just run the pump in the garage for a while and wait until the new mixture comes out? And how about the Oil out? I mainly travel longer distances (100km and more), can I just leave the oil alone or can the modern Motren oils be used at outside temperatures from -10 to -20 °C? Thanks for the information