1. What evidence would convince you of God’s existence?
Probably nothing short of God appearing before me and answering all the questions I have about him, Christianity, and the universe.
2. You see the words, “I love you” written in the sand at the beach. Is this man-made? If so, how do you know?
In the absence of any reason to think otherwise, it's stupid to think that anyone but a human wrote that. Occam's Razor.
3. If the God of the Bible were real, would He set the rules or would man set the rules?
I really can't answer this, but since Christians like to claim that might makes right, it would probably be God. That doesn't mean his rules are just or right.
4. Do moral laws exist? If so, do they exist independent of humans? How do you know what they are?
I wouldn't say "laws," but there are morals which benefit humanity and have been adopted by all societies. Namely, don't murder people or steal stuff. But morality is so subjective, I think the best way to live is to do what you want as long as it doesn't harm anyone or infringe upon others' rights.
5. If everyone on earth believed that rape were morally right, would it still be morally wrong?
See my answer to #4.
6. What is the most dangerous religion on Earth?
Any evangelical religion. Any religion that gives someone a reason to kill others.
7. Where did the laws of logic come from?
Who says they have to "come from" anywhere?
8. How did non-rational events and processes lead to a rational human mind?
I don't know.
9. Why do some atheists such as Carl Wieland and Alister McGrath become Christians?
You would have to ask them. I have no idea why a true atheist, that is, someone who doesn't believe in a god without evidence, would start believing in any religion.
10. How do beliefs and thoughts differ?
A belief is a system of thoughts.
11. Do you believe that God does not exist?
Yes, because there's no evidence for any gods to exist, and it's quite obvious that all the gods ever worshiped throughout history were made up by man.
12. Do you think that God does not exist?
I don't really know, but until there's evidence to support his existence, I don't think he exists. Also see #11.
13. How do you think life began on Earth?
Scientists are working on it and getting closer to the answer every day. But it's not likely that we'll ever know with 100% accuracy.
Christian apologetics is the art of rolling a dog turd in sugar and selling it as a donut.