A service is something someone provides. A microservice is much the same, but serves those who offer services to the end user – roughly analogous to a supplier in the physical goods space. A module may be the product of the service rendered.
Modules are for organising your code, services are for organising processes on the OS, and micro-services are for organising teams of developers
You can organize teams of developers around services.
Developers all provide the same service (more or less), giving no clear delineation in which to organize. More likely will you organize teams of developers around products.
Microservice are a way to organize teams. Modules and services also serve that purpose.