1.No, the material's temperature will always go up when energy is added to it.
2.No, the material's temperature will sometimes go up and sometimes go down when energy is added, but it will always change.
3.Yes, temperature change is not a function of energy added to a material.
4.Yes, in some cases a material's temperature will change when energy is added to the material. In other cases, the material's temperature will not change when energy is added.