Still they make less money,

Wrong, they make more money for the same work.

    bear the cost/burden of child birth,

With modern contraception tech, children is a lifestyle choice, like playing golf, a lifestyle choice they mostly volunteer for.

   are more likely to care for children,

That's a lifestyle choice that they mostly enjoy. Child rearing is best seen as a long-term paid for holiday.

   are more likely to be physically abused by their partners,

Men are are more likely to be emotionally abused by their partners, and emotional abuse is worse than physical abuse. Moreover, men don't complain so much physical abuse of men is not reported.

   more likely to be killed by their partner,

The majority of all murder victims are men.