You mentioned that Locke and other philosophers have come to these conclusions by deduction, which is a social phenomenon.
Really, all you seem to be saying is "I prefer this definition of rights, it makes sense to me and I think it will work for me and other people." And really what you are defining as rights is a set of morals that you think people and governments should follow. But all of that leads to it just being a social construct since all of it, the language, the logic, etc, is an invention of the human mind.
Personally, I think those principals are good ideas, but all they are is principals, there is nothing natural about them.