create a booking website and application

I've created a formation company which allow people to have access to a classroom where they can work whith an help of a professor. Some details: - The maximum of student is 4 students - The sessions are 2 hours long - Students have recurrent days booking (for example: Max come to "La Ruche" every monday from 6 P.M. to 8p P.M. Today I would like to offer to my student the possibility to book more hours and to change their hours. I need this booking page on my existing website (with a coherent graphic charter): - Student have to login to access to the page - Then, they can check their current reservation and have access to a small private space - They can change their reservation 36 hours before the beginning of the course. - They can book more courses. - Moreover I would like to create a live forum accessible to student and teachers and where student can ask their questions photos of their execices and ask live corrections.