Why did Jack Sparrow cut himself?
no he is not- He took one of the medallions so he was cursed too- and to break the curse “blood must spill” in other words the blood of whoever took the medallion or their relative must be on the medallion when it is returned- and thus him doing that and will doing it to his medaliion broke the curse and barbossa and his men and jack were back to normal the reason he took the medallion was so he would be cursed and not get killed in the fighting