Men aren't killing themselves because nobody celebrates fathers day. And they're not killing themselves because sitcom dads are morons. They're killing themselves because they feel they have failed the people around them, and can't live with the shame. This pressure to succeed was not invented by feminists, and has existed for many years. Both women and men unconsciously perpetuate a toxic idea of masculinity which keeps men from seeking help,

This masculinity is the cause of your other problems too:

Nobody celebrates father's day because according to society's version of masculinity, men aren't allowed to be sentimental. Getting cards and flowers isn't exactly a manly thing.

Male victims of statutory rape are rarely considered to be victims, because according to our twisted view of masculinity, males are always supposed to want sex. Everytime a female teacher is caught having sex with an underage male student, someone jokes that the young student "scored a hot babe" or something to that effect.

Men on TV are bumbling idiots because men are the primary audience for these shows. The protagonists are always average, unremakable men so that the average man can identify with them. The women characters are always sharp witted and shrewd because they are the antagonists.