Moodle Integration within website

I am looking for an expert to help me to integrate Moodle features (Listed below) within the platform (E-learning website on PHP frame work).
Requirement : End users will remain within platform instead on redirecting to Moodle.
Core requirement within MLH.

1. Course Modules (Media files- Offline download option)
2. Quizzes & Assessments.
3. Calendar
4. Leaderboard
5. Reports syncing
6. Zoom integration within platform
7. Custom themes.
8. Database syncing
9. Certificates
10. Tracking/Progress Status
11. Notifications