Thermal
No, objects that gain energy become hotter.
Such energy can be transferred. Usually it will transfer from hotter objects to colder objects.
It is not clear what sort of energy you are talking about. In the case of heat: heat has a natural tendency to flow from hotter objects to colder objects. If your house is hotter than the surroundings, then heat energy will flow out of it.
from radiation and convection
Yes
Kinetic energy
Heat has a tendency to flow from hotter objects to colder objects. This can be reduced with thermal insulation, but not entirely stopped.
Heat energy will be transferred from the hotter objects to cooler objects until they are all at the same temperature.
Because thermal energy travels from hotter objects to colder objects.
thermel energy
Heat will naturally flow from hotter to colder objects.
Yes, that is correct.