Hi! I think the answer to your question is: YES! I know that sounds simple, but basically a tutor can be all those things. A tutor is someone who helps a student at his/her level and moves them toward a better understanding of the topic/processes that they are attempting. Sometimes that means extensive tutoring in one level. Sometimes it means a light touch and editing. There are times when tutors need to create elaborate assignments to clarify an idea or parallel assignment, but often tutors sit at the level of the student and work with assignments already given by other instructors.
Enrichment services are services that offer personal classes apart from a student's normal classes. They can be in the normal Academics, but often they are in the arts, lab sciences, and outside physical development.