30 years ago the feminist and equality movement was very different from today's view, and not all for the worse. A lot of focus was then to eliminate gender in the ways people were treated, with the more extreme parts of the movement wanting to eliminate gender roles all together. Gender segregation in Northern Europe held the best numbers 30-40 years ago, and has only gotten worse since with pretty large strides. Gender segregation today is more like the 1920 than the 1990's.
women murdered per capita has indeed gone down, but so have the general murder rate. Men are still murdered far more often than women, and reached the highest ratio ever measured in the last summery by the government agency BRÅ, with around 77% to 23%. I would be careful to attribute such numbers to gender equality, especially since the trend seems to continue upwards.
The statistics for assault and sexual assault has similar complexity. The combined risk of being assaulted or sexual assaulted has been historically similar for both women and men, with assault being more common for men and sexual assault for women. Between 2012 and 2018 there were a major increase in sexual assault, and especially rape after 2015. The reason for this can't really be discussed since it involve an other political hot topic.
It still might be a rapid change that is causing people to overshoot, but it is likely a much harder token to measure. Changes in political power.