What constitutes someones rights, especially womens rights is a debatable concept and not something the whole of society agrees with each other on it.
Gloria Stienem, Sandra Harding and Andrae Dworkins conception of "womens rights," tends to differ greatly from the common conception of what is a right among most of society.
People hating feminists, that's news to me. I only object to something if there very clearly sexism involved like a drawing of a nude woman with big breast or something along that lines. would be the kind of thing that bothers me. I know there are some people out there that you take a full length dress or shirt they say it's mini skirt. And I have also seen people call certain female fictional characters sluts that clearly were not. to sum up some people see sexism everywhere.
Radical feminists are more vocal than regular feminists, so those are the first people I think of when I think feminist. More importantly, the word feminist seems to go against equality.
Yeah, until you look at reproductive rights, salary, etc. Specifically talking about the US, since in other countries these are more equal. However, I cannot join specific armed forces either because I am a woman.