The basic claim here seems reasonable enough.
Yes, and then their daughters die. Again, if a long argument outputs a conclusion you know is wrong, you know there's something wrong with the argument even if you don't know what it is.
It's not clear to me that the argument outputs the wrong conclusion. Their daughters die because of their agent type at time of prediction not because of their decision and they can't control their agent type at this past time so they don't try to. It's unclear that someone is irrational for exerting the best influence they can. Of course, this is all old debate so I don't think we're really progressing things here.
I have sympathy with both one-boxers and two-boxers in Newcomb's problem. Contrary to this, however, many people on Less Wrong seem to be staunch and confident one-boxers. So I'm turning to you guys to ask for help figuring out whether I should be a staunch one-boxer too. Below is an imaginary dialogue setting out my understanding of the arguments normally advanced on LW for one-boxing and I was hoping to get help filling in the details and extending this argument so that I (and anyone else who is uncertain about the issue) can develop an understanding of the strongest arguments for one-boxing.