Have you tried this for scheduling home tutor lessons for younger kids? I know a lot of parents would really appreciate scheduling lessons like this. You could add a few more features but it'll be a good fit! I'm from India so im not sure if apps/websites already have features like this. But i know India's parents for kids of 12-18 would use it (only if it was free ig)

From your github almost everything can help in home tutor scheduling:

Key features

Smart schedule which takes the following into account:

Student & appointments locations

Traffic

Users requirements

Internal rules taught by dozens of teachers

Lesson tracking

Payments tracking

Lesson topics