If you're going to use actual religions, you should choose a wider variety. The three you have picked are all monotheistic and abrahamic. Try and get three that are not so close together. Like one each from abrahamic, indian, and maybe either chinese folk and/or from a new religious group. You'll also have to do research into each religion you choose. Not very deep, but enough that you can make sure not to offend anyone and promote each religion in a positive light.
But honestly, I would either pick more than three real religions to keep from excluding anyone, or make up your own.