Yes
What it needs is energy. Nuclear energy is just one of many options to get energy.
Radioactive particles and gamma rays can do so. The energy from fission however appears as thermal energy in the nuclear fuel, and this needs a medium such as water or gas to remove the heat.
No, longitudinal waves do need a medium to transport energy. These waves propagate by compressing and rarefying the medium in the direction of the wave's travel, and they cannot travel through a vacuum. For example, sound waves in air are longitudinal waves that require the air medium for propagation.
electromagnetic waves
It needs you to study your courses on FLVS.
This seems very unlikely. Nuclear reactors need a lot of heavy shielding so are not suitable for transport purposes
Nuclear fusion produces nuclear energy
The energy released is nuclear energy.
Nuclear fission is a type of nuclear reaction that converts nuclear energy into thermal energy (heat), which can then be used to generate mechanical energy (such as electricity). So, fission nuclear energy originates as nuclear energy and can be converted into mechanical energy.
the wave which does not travel through a medium is called electromagnetic wave.
The energy stored in an atom's nucleus is nuclear energy. This energy is released through processes like nuclear fusion or fission, which involve manipulating the nucleus of an atom to release large amounts of energy.
Electromagnetic waves are associated with radiation because they can transfer energy through a vacuum or a medium without the need for a material medium. When electromagnetic waves interact with matter, they can cause the release of energy in the form of radiation such as light, heat, or radio waves.