Sure sounds like the heater core went for it's last ride. With the age of your car finding a replacement might be a bit of a search.

Yes,heater cores bad. when the heater core is bad,they leak into the floorboard. suggest you loosen radiator cap and take to your mechanic.loosen the radiator cap only reduces the pressure to your radiator,you will not have heat,but your engine should not overheat also. thank you for choosing fixya.com