On Checkout cart success page on message after i want display suggestion or feedback form with multiple option.
After fill information send mail.
Comment and feedback option validation without page refresh.
You need to develop your own module with ajax capabilities, sending information to the controller of your module.
The module should also include a block which should be added in the checkout_onepage_success
layout.
More on module creation here : Magento wiki custom module with database
To create the form and have the mail notifications you can check it out at inchoo here: Custom email contact form with notification system
Good luck.