Some more observations and questions:

the Kersten (or "Double Greener") lock is much more than needed for such moderate-pressure cartridges, normally a single Greener lug would be used.

The scope on the 7x57 barrel is quite new (Zeiss or Swarowski?), in traditional Suhl claw mounts. Do you have an idea where this was done?
The scope on the Krag barrel appears to be older, maybe 1960s period. What make, and what type of mounts where used?

Is there a flip-up rear sight in front of the action, just behind the rear scope base? I have never seen something like this before.

I'd like to see a picture of the other side of the stock, please, to see the cheek piece.

This is a great rifle with plenty interesting features - have fun and Waidmannsheil with it!
fuhrmann