Villagers won’t choose professions and new villagers have wrong professions

Villager reverted back to (non working villager) once I took away its workstation. I destroyed the workstation and made a new one, the villager would  NOT adopt any profession after that. Also, now my villagers are growing up, choosing their profession but selling the wrong things. I have two villagers who appear to be librarians but one is actually a farmer and the other a stone mason.