HOW TO TEST HEATER CORE FOR LEAKS???

I saw one guy that clamped an old bicycle tube onto the outlets and filled the core with air while it was under water. He tested his new one after installing a prior new one that was bad. Any hole, and the air would bubble right out.

But most likely, 99% of the time, if you have coolant inside the car, it is the core. That is the only place coolant circulates besides under the hood.