Using date picker for specific cell

Dear Experts!

Please help me in
1. getting the date in specific cell using date picker. in Cell C1
2. getting previous or next date on click of left and right arrow in Cell C1
3. Change Cell C1 bg color (Red) If Selected date is on Sundays or in list of holidays (ws Data)

Kindly refer attachment.

Thank you for your help!
-sk