Here’s a link to someone who has figured out how to connect fullcalendar to mysql for both read and write.
http://developer-paradize.blogspot.com/2013/06/jquery-fullcalendar-integration-with.html
A side note to investigate this chat/phone/video free application
an example of using colors
http://www.cliptheme.com/demo/clip-one/pages_calendar.html
editing the fullcalendar views
http://fullcalendar.io/docs/views/Custom_Views/
another jquery creates a timetable
http://static.triballabs.net/Bootstrap/Timetable.htm