For what it's worth, he addressed your first point in a reddit AMA. More or less, he thinks smart women are more verbally gifted, so they have more viable career choices on average. If that's true, they may they pick apparently nonverbal jobs (programming) less often.
"For high achieving women, they tend to be good at both quantitative and verbal skills. For high achieving men, they tend to be good at quantitative skills and proportionally not as good at verbal. Thus, high achieving women have more choices of careers (like being a lawyer), while men may have fewer."
Yeah, I still think that's transparently BS. His source there is another opinion piece.
That said, it does sound as if Google is engaged in illegal hiring practices.
As someone who went to a private engineering school, formerly boys only and co-ed in the past decade, there are many brilliant women in engineering. All of this spouting does them a huge disservice. As Damore himself admitted in one AMA answer, it might by "cultural." I believe that is a far more acceptable argument than evolutionary psychology and political ideology.
https://www.reddit.com/r/JamesDamore/comments/6thcy3/im_jame...
"For high achieving women, they tend to be good at both quantitative and verbal skills. For high achieving men, they tend to be good at quantitative skills and proportionally not as good at verbal. Thus, high achieving women have more choices of careers (like being a lawyer), while men may have fewer."