Rights are limitations on government power. They are Congress-shall-make-no-law-that type things. Once granted I think it is a Christian virtue to ensure they are applied fairly to all. That's a part of justice. However, how does our faith inform us on the topic of what rights we should have?
Rights are really sort of arbitrary. For example, we have a defined right in the Constitution to be from to practice our religion, and to be free from supporting the practice of another's religion. We are free to speak and to assemble. We are free to bear arms. The constitutions does not give us certain rights that courts have given us. So we know have a right to privacy and a right to self-defense. (Although many state constitutions address these more directly.)
Are there other rights we should have? Are there rights we don't need?