Um, George....
Even in the original I would hardly call Han shooting Greedo first "in cold blood"
See, if you could read...like I can, you would have seen sub-titled dialog at the bottom of the screen.
In this dialog Greedo in a beat about the bush kind of way told Han Solo he was going to gain favor with Jabba by bringing Jabba Han's ship over Han's dead body.
Now I realize first as I said, you have to read.
Second, you have to comprehend what you read.
And sometimes you even have to use common sense (something else you seem to not have a need for nowadays) and assume a little bit.
So more educated people than yourself realize Han didn't kill Greedo in cold blood. He was protecting himself from the threats of a villianous gangster. He was being proactive!