As a non-Christian, I figured I would give my personal responses to these arguments, as well as explaining why many atheists, agnostics, and non-Christians might reject them.
1. God provides the best explanation of the origin of the universe.
To me, this is both a good and bad place to start. On one hand, I find it hard to reject the logic that a beginning of the universe had to have a first cause. And most people (myself included) are not well-versed enough in physics of philosophy to seriously start making heavy arguments over this for either side. That said, I reject the notion that this proves that the cause in question absolutely has to be the God that Craig describes. So his argument might poke a hole in atheism, but not any other type of belief that includes any kind of god-like being.
2. God provides the best explanation for the fine-tuning of the universe.
The universe is nicely fine-tuned for us, yes (and the other living things on Earth and those potentially living elsewhere). But I reject the notion that it is impossible for a universe slightly different than ours to not support life of some sort, even if it wouldn't support us. Just like I think it is silly to think that life on distant worlds will look and live exactly like we do, and live on planets identical to Earth. I concede that our universe is good for our brand of life, per say, but a differently tuned universe could be just as good for a different type of life to flourish, even if it is infinitely different than life as we know it.
Craig is wrong, in my opinion, to claim that life cannot possibly exist in any other universe than one with our laws of physics. Such theoretical life just couldn't be us.
3. God provides the best explanation of objective moral values and duties.
Craig actually gives my answer in his explanation. I could very easily argue that human morality is just a function of evolutionary processes and that social norms are simply learned from those who raise us. It is undeniable that social behaviors and norms are evolved traits in every other species out there, so why can't our basic human morals be similarly evolved and learned?
4. God provides the best explanation of the historical facts concerning Jesus’ life, death, and resurrection.
I'll be honest, I physically laughed out loud at this one. To claim that it is established historical fact and consensus that Jesus performed miracles, exorcisms, rose from the dead, and was God is absurd on so many levels. Maybe to Christian
scholars such things are considered factual, but such events are not confirmed by any historical evidence beyond the Bible. No non-Christian who actually looks into this claim is going to go very far without finding it to be incorrect.
5. God can be personally known and experienced.
This just isn't a very helpful argument. It might be true, but a non-Christian who has never "experienced" God will find this to be a pretty lame proof of God. Combine that with the fact that, for centuries (or longer), people of literally every religion to ever exist have claimed to personally know and experience their religion...and this argument really only rings true to those already considered Christians.