I have a 1988 Cadillac Seville with no heat. Replaced the thermostat. Have not had any of the usual indicators of a failed heater core. No heat. The air that comes out is enough to defrost windshield. How can I determine if the system just needs to be flushed, if it is the water pump, or if it is the heater core? Is it possible that flushing the system could resolve this issue?