Customer service is both a type of job and a set of job skills. As a job, customer service professionals are responsible for addressing customer needs and ensuring they have a good experience. As a skill set, customer service entails several qualities like active listening, empathy, problem-solving and communication. Customer service is used in many jobs at every level.
While traditionally you might think of customer care as a service from a business to a consumer, it is also applicable within a business. For example, you may be in a role that provides services to other, internal teams. In this case, you would want to ensure that you understood and were able to meet their needs