Why vaccinate children under 12? The only good reason I can see is if they have some sort of known health condition. Is there any other reasons why you would do this?
The same reason to vaccinate everyone else: to minimize the opportunity for a more virulent strain to emerge - one against which current vaccines are ineffective.
Given the flu kills more kids than covid, we should probably require them to get that vaccine. Given more kids drown than die of covid, we should probably restrict their access to water. Given more kids die in fires, we should keep them out of structures made of wood. Given more die in auto accidents, they shouldn’t be allowed in cars.