I want to use jQuery datepicker for select the Start Date and also Required Field Validation in the name.
As soon as you know the selected date, you should send it to the server using commandCallBack() method in order to change the date and load the new event set.
See ASP.NET MVC/Example 1 here: http://doc.daypilot.org/calendar/manual-date-switching/
See also here: http://doc.daypilot.org/calendar/commandcallback/
How would you go about sending the datepilot date back to your datepicker so that it reflects the date being viewed in daypilot is always the selected day in the datepicker?