Um. That's not normal. I've had really loooong rides. 20 or more miles where my hands would go numb from bad fitting, hand clenching, not switching hand position, etc, but never only
2 miles. I hope that they can dial the bike in to fit you. Tenderness in your hands - that lingers - doesn't sound normal either. Those brake levers look like they're installed a little high to me. That could be part of your discomfort.
One bike shop sized me completely wrong and I bought a bike one size too small for me. Short distances were fine - but long distances were torture. I never went back to that shop. They supposedly have years of experience too.

My current shop let me trade in that bike a while back - towards a new and different bike. I will go to them from now on. They fitted me just right on my beloved (____) *I won't say it, because I gush about it a lot and I sound like a corporate shill. *
Anyhow, best of luck to you Catrin. I hope all works out. The bike is lovely.