Damaged Luggage

Booked flights for Europe vacation (e-ticket receipt U4TCNG) with British Airways. Received damaged luggage at Cape Town International upon return from Athens via Heathrow and via Johannesburg. The local airline Airlink of the last connecting flight from Johannesburg said that they received the luggage damaged from British Airways. British Airways does not want to take responsibility for the damaged luggage and wants to shift the blame to the local airline. Now have two damaged suitcases, one which was purchased less than a week before the vacation and nobody wants to take responsibility. British Airways reference Case: 08161401.