Some further discussions points of your examples:
- Blacks can't be racists. - Double-standard I suppose. Although a black person can definitely be a racist, it's unlikely that the word is being used correctly. I would suggest that you look up the definition and stop listening to how some politicians and talk show hosts are trying to label things. Simply calling something what it is not does not make it so. Seriously, google the definition and apply it to whatever you are referring to here.
- It's okay to hit a man, while the reverse is despicable no matter the context. - Double-standard (I personally don't think it's cool to hit someone significantly weaker than you - especially women).
- The claim that women are payed less than men, ignoring situations where women are actually paid more. - Statistically speaking, this is FACT. Although there are exceptions, the strong general trend is absolutely true. You should also look up SEXISM while you are in the dictionary.
- It's okay for groups like antifa to be violent and suppress others because of who they're against. - This is touchy. People always want to suppress those that they are opposed to. The reason Antifa gets a pass from some people is because what the group they are against consists of people who think non-whites are inferior and should not be allowed the same rights and even killed - let's not forget the holocaust okay?
- The support for censorship at universities and colleges. - Free speech representing divisive ideologies is a tough one. Many organizations don't want to create an atmosphere of controversy so they are selective on who they allow to present in their venues. Free speech doesn't give someone the right to override local rules, regulations, or a colleges charter. And it certainly doesn't mean anyone can use a campus facility to talk about or do whatever they want to do simple because "free speech". The power of free speech doesn't allow me to stand on your front lawn and talk about cake recipes because my free speech doesn't override your properties privacy (or your fence, dog, gun, etc.).