Heat energy is transmitted in 3 ways. Radiation (traveling without matter), convection (the circular motion of heating and cooling particles) and by conduction (direct contact). It travels in a transverse wave, and it travels from warm to cold.
Chemical energy is a form of Potential energy. It is used to create Heat, Mechanical Energy, Light , Etc... It is Food, Gas, Wood, Batteries and much more. Chemical energy is stored in the bonds in chemicals.
Light makes vision possible by reflecting off objects. If a shirt looks blue, that means that it absorbs every color but blue. This is why darker colors get warmer than lighter colors in the sun. Light travels in a transverse wave.