As you requested sir. Below are some quick and dirty definitions.
(natural) right = a theory that INDIVIDUALS have basic rights given to them by nature or God that no individual or government can deny
example = The right to control your own body, but not the body of others without their explicit consent
Equal rights = There are several commonly used meanings. The first makes sense, the second relies upon rationalization and is the improper use of the term..
The first meaning, is all people enjoy the same right, with regard to their ability to exercise control of it, over themselves,but not over others.
The second meaning is when the first meaning is contradicted. For instance, some people think an equal right should guarantee an equal result, but that is wrong, because in order to do that, the first definition would have to be violated to achieve it.
Should people have equal rights ? Yes, but that is with the understanding that no person may violate anothers right of self determination to achieve it. For instance, you have the right to determine the use of YOUR body and YOUR justly acquired property, but not the right to determine that for others.
Race etc. = People should strive to do unto others as they would have done to them. I don't like to be forced to do anything, therefore I reason others don't either. All people regardless of race have the right to control themselves, but not others etc.
No persons race confers superiority, our actions should define us, not our race or sexual preference etc.
Economic policies, which is best? = The kind that don't force other people to participate and that people naturally gravitate to.
It is not impossible, to have several competing policies existing at the same time in a given area, it just hasn't happened yet.
When it is "allowed" the answer will then become, you will decide which works best for you and I will for me. Co-existence in different economic models in a given land area is not impossible, when that becomes a widely recognized realization, people will be a step closer to freedom.
Panarchy....a good thing.