Dr. Craig is a liar.

[Pat Mustard]

You forgot a necessary attribute in your list. Whatever caused the universe (or its predecessor) must have been uncaused to avoid a past infinite regression absurdity. 

That's why the Kalam Argument is phrased "Anything that began to exist must have a cause of it's existence".

- If things can happen without causes, then we have no need of a creator god.  "The universe just happened" is every bit as good an explanation as "My god exists without cause." 

It's better, because it passes William of Ockham's doctrine of least causes. A universe uncreated by god has less explaining to do than a one created by god (that's assuming that in all other ways both possibilities are equally likely, which is preposterous given our knowledge of the world).