I30,High idling, jumping while idling, idle air control valve code

I have a car with the check engine light, that came on very recently. There was a code that indicates an issue with idle air control valve. The car has 130,000 miles on it. It has problems with idling. It idles at about 2200 RPMs when it is in neutral or whn parked. The idling is 1200 RPM while driving. The car would jump and jerk during idling while the vehicel is warmed up. It runs as though I am reving it again and again. On one terminal, I found a burnt female plug connecting to the IAC valve. I had the IAC valve replaced but the problem persisits. I noticed the spot where the plug melted