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!