Honestly those issues you point out in the second paragraph are more generalisations then they are valid arguments. Take for example this:
-Women hit men > OK. Men hit Women > Evil
This is the most absurd generalisation I've ever seen and it has no seemingly truth behind it. Why in the world would hitting men be more considered normal than hitting women. Hitting men is not ethically normal at all. It is the equal offense to hitting a man or a woman. Your illicit argument is worthless.
Anyway going back to the statistics
Injuries on the Job (2007)
Women – 36%
Men – 64%
a simple explanation is that men are more predominant to work in physical hard labour jobs such as a construction builder (98% male), dock labourer (99% male) and industrial labourer (I have no statistics on this)
Men are physically more capable of doing these jobs than women by the virtue of their hormonal differences. Women on the contrary are more predominant in the care sector and are more reluctant to have jobs such as a nurse (92%), a retirement worker (no statistics), therapist (92%), dental hygeniest (98%)
Deaths from HIV/AIDS (2004)
Women – 3,357
Men – 8,756
HIV/AIDS is more prevalent among homosexual men and is spread by sexual acts. It's such a plague that the majority of people dying from AIDS are homosexual, and explains the gender difference.
Women Only – Office, Projects and Programs 70+ – Funds – $100,000,000,000
Men Only – None – $0
that $100,000,000,000 number is hillariously funny. It's equal to the entire gdp of Croatia. Sad fact is that this number has no source whatsoever and is therefore incorrect
Average Hours Worked Per Week (2010)
Women – 36.1
Men – 40.2
Women are more reluctant to work part-time. This explains the gap. If you'd exclude women that do part-time you would have more or less the same outcome for both men and women
I could challenge some more statistics on your list but I'm too deprived to write another wall of text. Anyways I'd not blame everything on gender roles. It's far more complex than that. However, the education system definitely can be fixed if you abolish the gender roles