I support Capital Punishment.
Under a proper system where the Court and the Justice system seeks to establish facts, determine guilt and assign responsibility, I would have no hesitation in supporting a decision that would result in a murderer being executed.
However, I am also a strong proponent of rehabilitative justice and believe that people are able to genuinely reform themselves. Thus, if an execution sentence was handed down by the Courts, then this will have to be ratified by the family of the victim, thus providing adequate checks and balance against any (potential) abuse of power.