Appointment booking script utilizing jQuery Full Calendar and PHP/Mysql

Hello. I have a small project that I need done. I want to use the open source jQuery Full Calendar script which is a responsive calendar built with jQuery. You can learn more about it here: [login to view URL] I want to use this calendar on my site to enable my users to be able to book appointments with personal trainers. So, people will need to be able to select a training session from the calendar. Each personal trainer has his own calendar which shows his days that he's available to train people and when they click on an available date, it will show them the times that he's available to train them in 15 minute increments. So, for instance lets say a trainer named Mike is available on Mondays-Friday from 8am-5pm. If a user comes to his calendar they will see that certain days are not fully booked and they can click on a day. Then when they click on a day they can see time intervals like this: Mike's available time slots for Tuesday August 25, 2014: 8:00 am-9:00 am - Click here to book appointment! 8:15 am-9:15 am - Click here to book appointment! 2:00 pm - 3:00 pm - Click here to book appointment! The page above can be a separate page from the calendar, but it would need to be synced with the calendar to be able to fetch the times and days that he's available for appointments. Then when the user clicks on a day, he can book an appointment and after the trainer confirms via email then the user will receive an email confirmation that his appointment is scheduled. While it's still being confirmed though, that time slot would need to be no longer visible to other users, so that there wouldn't be multiple bookings for the same time slot, to avoid those conflicts. So, the application would need to fetch the data from MySQL and use that to display the available days. If a day is not available then the user will not be able to click on it in the calendar. Also, the trainers should be able to set their schedule which will get updated to MySQL, so the schedule is normally recurring but they should also be able to change certain days if they feel like they can or cannot work on that day. Also, the appointments will vary by time, so a training session can last 30 minutes, 1 hour, 3 hours, 1 hour and a half, etc. and that would need to be taken into account when the user books an appointment because if the trainer has a 1 hour gap between 2pm and 3pm, but the session is for 2 hours, they should not be able to book that time slot, since it wouldn't make any sense. Anyways, if you have any further questions please feel free to ask. This shouldn't take more than 2 or 3 hours to do so I'm looking to pay around $100, so please take that into account when you bid. I look for quality work but also price is important.