Most of the problems raised here are a result of gender roles. For example when you say child custody is biased in favour of women: Absolutely it is, because women are seen as mothers first and foremost (and people and/or workers second) while men are seen as the primary breadwinners, which in turn explains your other point about child support. In regards to male victims of domestic violence (an issue I'm particularly passionate about) and the high suicide rate, again that's a result of gender roles: men are expected to be tough, resilient, to bottle up their emotions, to not express themselves, to seek help, to show weakness or let the cracks show. When men step outside of that gender role and do those things, when men do come forward to police about domestic violence for example, they are mocked and told they are being pussies or some such term. This is what you talk about when you say "Being told to 'man up' and not complain when they dare to speak up about anti-male discrimination." Again: Gender roles. They are not fulfilling the gender role society says men are supposed to play.
When we talk about the view of men as expendable, which obviously links in with your other point about workplace fatalities, you can again place this firmly in patriarchal gender roles about pre-conceived notions about how men and women are and how they ought to each behave. Again looking at this from a gender role perspective: Women are fragile little flowers incapable of hard labour, and it would be undignified for them do so, and anyway they ought really to be at home cooking, cleaning, or making babies. They can't be operating machinery
and being housewives, after all.
And when we talk about the number of workplace deaths being unbalanced gender-wise, that's because men take a disproportionate amount of the dangerous jobs. And that's not because women don't want to take them: for example discrimination against women in the construction industry (one of the major industries where workplace deaths happen) is well-documented (See here,
here, or
here, for example) This is partially again gender roles: women are weak and incompetent and unable to perform
manly work like construction because we need
manly men to do
men work.
And gender roles are pretty much the central thing feminism attacks. Feminists reject pre-conceived notions about how men and women 'ought' to behave; that women 'should' be housewives, that men 'should' be the stoic breadwinner. The feminist view is that every man and woman has a right to decide for themselves what they want for themselves and that society and others have no right to decide for us.