Something doesn't seem right here, not at all. Two possible, and drastically different, scenarios as I see it:
1) kids are making noise. Store owner goes up and aggressively addresses the parents to keep their kids in line and grabs victim. Victim pushes him off and leaves store with family. Store owner goes out with gun and executes the guy for the personal offense.
2) kids are making noise. Store owner goes up and asks guy to leave/settle his store. Guy resists, goes up to owner threateningly and pushes him, then leaves store with family (this doesn't make any sense to me, personally - it doesn't follow a pattern of behavior, especially if you consider the guy was supposedly mild-mannered). Store owner goes outside with gun in hand to get license plate (yeah, that makes sense), and then gets threatened and approached again by the guy. Shoots guy.
Which makes more sense to you, while being consistent with the known facts and the sides as stated? Either way, the articles don't provide nearly enough information. We don't know the positioning of the bodies, etc.
And personally, I see no reason why the cousin (or any of the rest of the family) would have a reason to lie, except revenge. But if their stories are consistent, well...
I have to wonder: what kind of name is "Eli Eliyahu"? It would appear that he (or his parents) may be recent immigrants to the country (last ~20 years) due to the fact that he has a passport and that his name is a bit peculiar. Jewish? Arab (ie Lebanon maybe)? Indian? I don't know. What I do know is that, given how many witnesses there were, it should have been a black-and-white conviction: either murder, or justifiable self-defense.
Rule 1--don't shoot your mouth off to the 911 dispatcher. Keep it simple, resist the urge to tell all to the first person you see. In this case, given that the dead guy was apparently UNARMED, I'd say the fellow should have kept his mouth shut tight until he got his lawyer.
You're right - his behavior there is quite suspicious. Why would the first thing you mention be that you had a CCW permit? That's just odd, if nothing else.