The original insurance will not be addressed in case of problems (accident, theft, etc.) since it is the insurance of CarAmigo which takes over during (and only during the time of) a carsharing

You do not have to do any additional effort for this i.e. you receive the insurance automatically: from the moment you accept a reservation request, the driver pays for the carsharing whereupon the insurance and roadside assistance will be in force from day D.