Plugin to manage dance club students

I’m looking for a membership or management plugin that will offer the following:

A schedule calendar to block of classes and assign teachers/students.
A customer database which stores parent details linked to students student details.
A dynamic waitlist that adds students wen spaces become available.
A staff list with access control to the membership system.
A statistics area where i can track student attendance.
Email newsletter.
Invoicing if possible.

I have found plugins for Management and also for Membership but nothging seems to fit a sports/dance club site.

Not sure if these are the correct terms i am looking for.

Many thanks for your time.