I found the drain plug and drained the remaining coolant from the engine block. I refilled and bled the air out. Took the car for a drive and for the first time on 2 years I was able to drive without heat blowing towards my face. It almost seems that the heater core flushing help dislodge a lot of gunk that was preventing the system to work properly. Now I have heat when I want heat. I have a brand new heater control valve that I will be installing this weekend. After that, I will be driving the car to an AC shop to see if they can charge the system properly.

Did you do a citrus flush?

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"It's what non-car people don't get. They see all cars as just ton-and-a-half, two tons of wires, glass, metal and rubber. That's all they see. People like you or I know, we have an unshakable belief that cars are living entities..... You can develop a relationship with a car, and that’s just what non-car people don't get."
-Jeremy Clarkson

No, I did not use any type of citrus flush. Thought about it but opted to flush using regular water from garden hose then followed by using Zerex G05 with distilled water to push out the regular water. I think I will flush again right before summer of next year and will use a citrus flush. Have no idea how to use such flush. Any harm to engine, hoses, seals or other components when using the citrus flush?