They do. I just did, others here have done so many times. There are entire books, tv programs, and websites devoted to explaining technical concepts related to evolution to the general public. Here’s such a website: Understanding Evolution - Your one-stop source for information on evolution
No. Simply not true. And I’m sorry to say but your statement there doesn’t even make any coherent sense. Scientists are not taking “arguments from design” (whatever you mean by that), and neither the fossil record, nor DNA comparisons, nor phylogenetic trees constitute “arguments from design”. Furthermore, none of these are “applied to (1)”.
The inferences of common descent and deep evolutionary history is from the fossil record, and from the DNA comparisons(like it is done in this link).
Yes creationists say a lot of things which are wrong. You can also find people who say that they’ve proved the Earth is flat.
Having interacted with creationists on the internet now for over 10 years, I have to say that it becomes increasingly difficult to entertain the idea that some of the more egregious cases are just mere examples of sincere misguidance. I don’t think all, nor even the majority of creationists are liars or dishonest, but I do think some of them are. Repeat offenders who continue to repeat the same falsehoods over and over again really do deserve the charge of dishonesty in my opinion.
Your immune system relies on recombination to generate new antibodies to fight off invading pathogens, so not only has this been observed, it is happening inside your body as we speak. Over the course of your life you will encounter and evolve resistance to an increasing number of pathogens, gaining novel antibody genes partly through a process known as VDJ recombination throughout your entire life.