First, thanks for being a rational and balanced voice on this matters: we need more voices like you to improve the "war between sex" (instead of all the blaming each other. Kudos :-)

Having said that, here are some observations...

***

> 1. "Although statistically women vastly outnumber men as victims of domestic violence and abuse"

I agree with (and applaud) your argument here, but your premise is wrong.

Domestic violence numbers actually are close to 50/50. But most media report just when the victim is the woman, not the reverse. And, of course, most feminists do the same.

Here are just some links:

- Google scholar: "gender symmetry in partner violence"

https://scholar.google.it/scholar?hl=en&as_sdt=0%2C5&q=gender+symmetry+in+partner+violence&btnG=

- Domestic Violence Against Men: No Laughing Matter (Psychology Today)

https://www.psychologytoday.com/intl/blog/talking-about-men/201911/domestic-violence-against-men-no-laughing-matter

"a growing body of international research indicates that men and women experience IPV [Intimate Partner Violence] in similar proportions"

- Hundreds of studies conducted around the world reveal women are equally likely as men to engage in domestic violence. A summary of 343 investigations by Dr. Martin Feibert revealed that “women are as physically aggressive as men (or more) in their relationships with their spouses or opposite-sex partners.” (4)

https://www.researchgate.net/publication/261543769_References_Examining_Assaults_by_Women_on_Their_Spouses_or_Male_Partners_An_Updated_Annotated_Bibliography

***

> 4. "Although men still earn more, the gender pay gap is improving"

There's no real "gender pay gap" in the West.

What there is, it's a "gender earning gap" (men earning more on average, not for the same job). That's a very different thing.

Women earn less mostly because of their choices, not because of discrimination.

- Lies, Damned Lies And Statistics: Gender Pay Gap Edition

https://www.forbes.com/sites/timworstall/2015/10/25/lies-damned-lies-and-statistics-gender-pay-gap-edition/

- The Gender Wage Gap Lie

https://slate.com/human-interest/2013/08/gender-pay-gap-the-familiar-line-that-women-make-77-cents-to-every-mans-dollar-simply-isnt-accurate.html

- Jordan Peterson is here to explain the gender pay gap to the media

https://www.washingtonexaminer.com/opinion/jordan-peterson-is-here-to-explain-the-gender-pay-gap-to-the-media

***

> 9. "If a man cheats, the woman who he cheats with receives far more hate and judgement than he does."

I think it depends on the audience.

I've seen lots of times, here on Medium too, condoning women cheating ("She will have her reasons", "The husband must be terrible"), while bashing the man doing the same. Most female audience shows this double standard (*), but some men as well.

(*) This doesn't happen when the cheater woman has cheated with HER partner, of course. ;-)

Thus, it might look one way or the opposite depending upon where our attention goes.