A lot of those 'facts' are merely second order effects.
For instance, more men are homeless because they commit more crimes, have more substance abuse problems and have more serious mental illnesses. Less women are homeless because women have more opportunities for transactional sex in exchange for shelter, which is not exactly a positive for women.
More women initiate divorces because they're more likely to be cheated on, more likely to be mentally or physically abused by their husbands. Not exactly a positive for women.
Women have both a small real pay gap AND a huge gap in lifetime earning potential, mostly due to child bearing. Women's career options and progression are limited by child bearing. You can say "then don't have kids" but society does actually require people to have children in order to sustain itself. Post industrial societies are already close to flat in terms of birth rate, with some going into the negative, so having even less children is probably not ideal. Some manner of equity in how child bearing effects women's careers needs to be established or you won't have intelligent women having kids, which has to have a huge negative impact on the gene pool.
This is also bullshit. The government wasn't paying for anything. Private insurance providers were providing the coverage, at no charge, not the government. Private insurance companies WANTED to provide the coverage, because birth control is cheaper than pregnancy. It was the employers who wanted, for religious/cultural/bullshit reasons, to bar what the private insurance company would pay for.