Build me a music school admin platform

We provide music lessons, both private a group. I am after something that will help me with the following tasks: 1. Create Student profiles with Parents, or adult option (including things like name, phone, email) 2. Schedule Lessons - private lessons and group lessons. I need to be able to schedule for multiple teachers and instrument categories 3. Create invoices automatically from the schedule. I want to be able to manual edit these if things change after creating the invoice. 4. Be able to bulk email with filters for teachers, instruments, etc 5. Having the schedule integrate with google calendar for each teacher would be very good. I'm after something that I will be able to use for multiple sites, so will want a section where I can input the company details - Company name, ABN, address, email, logo etc . It would be great if this then worked through to the invoices and emails. I'd be open to integrating this to include website too, and would also then want online forms for registration (not for payments, just text info about new students); and possibly a form for selling gift vouchers - maybe integrating with paypal for payment or something similar. Please contact me if I have not explained anything well.