Online Teaching Platform to be created

I want a website platform where teachers register to teach and able to update a scheduler/calendar with the times they are available to teach which appears for the students. Students are able to pick required teacher based on the profile and available preferred time. Similarly Students can place their requirement where teachers can choose. The following features are expected on the site: 1) Skype or web conferencing with whiteboard integration 2) Able to run reports and stats 3) Able to email and send reminders 4) If possible for certain countries able to send sms 5) Calender/Scheduler 6) Recruitment space where teachers show their interest and upload CV and also audio file 7) Messaging between teacher and student, admin and parent 8) Feedback after each class by teacher and student 9) Able to keep track of what was taught 10) After each class student approves that payment could be released 11) Integrate a payment system such as Paypal or [login to view URL] 12) Possibility to integrate LMS 13) A content library where we can store data 14) Search functionality 15) Able to show courses and other promotions 16) Timetable 17) Lesson plan 18) Integrate certain teaching material 19)Teacher can view all their students and their lessons 20) Ability to move student and their records from one teacher to the other if they need to be transferred Prefer using an existing system with additional features rather than build from scratch Please respond with answers to the following to be selected: 1) Are you working independently or with a group of people as an organisation? if organisation please provide company name details. 2) Have you done similar sites? Please list URL of those. 3) To show your graphic design capabilities. Please list 5 other sites you have created 4) If you had negative feedback please explain reason 5) How many other projects are you currently working on and provide details 6) Can you show evidence of you being a good communicator 7) How long would you need to complete this project 8) Can you suggest any areas or additional requirements that I have not thought about on my project 9) Inform which of my requirements cannot be easily done or might require longer time or cost 10)What are your recommendations as to which system, conferencing, payment method and LMS to use?