Electricity is a phenomenon (as light, magnetism, etc.) not a material as water, steel or concrete, etc.
No solid iodine does not conduct electricity.
network solid
A substance that conducts electricity is a conductor. There is no special name for one that is solid; if you need to specify that it is solid, just call it a "solid conductor".
no.
Usually a solid conductor is a metal but there are exceptions. For example graphite is nonmetallic but it conducts electricity.
Glass in its solid state is an insulator of electricity.
Most ionic solids cannot conduct electricity in the solid phase. They only do so in the liquid phase. While they are solid, the ions in the ionic solid are fixed in their lattice so cannot move to conduct electricity whereas in the liquid phase, the ions are free and mobile and can act as charge carriers for electricity.
Fully Solid in room temperature!
No, like most ionic compounds it does not.
A gas is usually a poor conductor of electricity. In contrast, a brittle solid material that is a poor conductor of electricity is typically an insulator.
sulphur
No, diamond is an insulator and does not conduct electricity in its solid state. This is because it does not have free electrons to carry an electric current.