First off, Welcome To the Forum! You’re definitely on the right track. Definitely keep asking questions and keep reading. As others have addressed those points, I will go ahead and debunk them as well:
They are basically all fallacies:
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This is just plain false
Notice how three of the four are logical fallacies. You’ll find people commit these errors often, especially when they have no real argument. In fact, you’ll see these used more often than genuine reasonings. The first step to good argumentation is to avoid these fallacies, despite how attractive they may be. Obviously, this would require some knowledge of them. It is recommended to become familiar with the most popular of these (you might check this list), as for one, they are most popular for a reason…meaning they can be the most easy to fall victim to yourself, but also it will help you to identify when someone else is committing the error so that you may point out the flaw in their logic.
For more info on this, you might check out this link. As far as further tips on how to argue, yes Molyneux is a good resource, and you might also check formal sources like here.
I would also recommend knowing your facts and the logic behind the argument you are making. Of course the best resources for this for the libertarian perspective would be Rothbard’s For a New Liberty and the more advanced The Ethics of Liberty. I highly recommend these. Definitely start with the former. I would also strongly recommend Ron Paul’s Liberty Defined and the Tannehill’s The Market for Liberty. (You can find links to purchase those at each of those at those respective articles, as well as free downloads (except for Liberty Defined)).
As far as anarcho-capitalism, this is a tough sell for even minarchists/constitutionalists. It’s usually better let them get there on their own…you just guide them in the right direction. In other words, I disagree with ladyattis when she says you shouldn’t be arguing with statists. It’s possible she just means “don’t be sucked into argument with them, but instead just say your piece” but I don’t know if I would go around saying “don’t argue with statists”. The key is you have to understand where they’re coming from (which shouldn’t be too hard, as you probably just came from that arena yourself and probably even still have many of the same questions and concerns they do.) And by understanding this, you’ll know it won’t do any good to go around saying “abolish government”. People will not take you seriously and you will have made no progress.
This is why I think there is a lot to learn from Ron Paul. Odds are he’s a voluntarist, but he also knows how to start a revolution. He knows how to reach people and sway public opinion. He has been an outcast long enough to know that you need to stick to your principles no matter what…but at the same time you can appeal to many more people by focusing on the largest and most pressing issues and offering solutions to them. It’s much more effective than simply saying “government is the source of almost all our problems, and we would be much better off if we got rid of it.” True as that may be, it’s not what gets people to listen to you. I went into this in more detail here.
So in the case of debating statists, the best thing to do is debunk their claims, and simply illustrate how the government is the source of the problem they are complaining about. People will connect the dots. And while not everyone will, and certainly not everyone will connect them enough (usually this means study enough) to get to an ancap persuasion, many will. Ron Paul has probably been the catalyst for more people moving to anarcho-capitalism than any single person. And he has done so not by arguing in favor of it, but by simply arguing the principles of it…and letting people get their on their own.
Now, if someone takes it that far and is interested, and open to the idea of anarchy, but has questions (as obviously everyone would), there are plenty of sources on this as well. Bob Murphy’s Chaos Theory (and definitely the articles listed there in the links section) are a great start. And of course Hoppe has written much on the subject.
I would also recommend checking out these:
Reading lists
I realize this is a lot of material, but I figured it would be useful for you to have it all here. And of course if you have any other questions, definitely feel free to ask away in here.