Mini Cooper 2016 – Oil in water

Hello, my name is Sabine and I’ve had my dream car for 3 months – Mini Cooper with 190 hp, 105,000 km in white with some useful extras. Now I have a massive problem: “Oil pressure too low” at high speed (>140 kmh), the local screwdriver thinks that this would be the oil pump and would like to replace it for EUR 1,000. In addition from the beginning high oil consumption. No white exhaust smoke and no water in the oil. nd feels oily. Does it sound like cylinder head gasket, am I right? What does the exchange cost (in a free workshop) and are there any problems / special tools? Your opinion would be very helpful, thank you! Gruss Sabine