How to setup Autoresponders and Thank You page

Is it possible in any way to have the form emailed to the client as well as a preformed "Thank you" letter that borrows from elements of the contract? For example the "name" and "date of event" field in my wedding photography contracts would end up like this. 

[Thank you (insert name) for contacting me about your event on the (insert date of event). I appreciate you taking the time... blah blah blah....]

Is it possible in any way to have the form emailed to the client

This will be possible by setting up Autoresponders. This feature allows you to send a sort of acknowledgment to your respondent that their form has been submitted. You may customize the email template as you please. Here's a quick guide on Creating-a-Form-Autoresponder 

For further reading: Explanation-of-Email-Notification-and-Autoresponder-Settings 

As well as a preformed "Thank you" letter that borrows from elements of the contract?

This is achievable too by entering the Form Field IDs to your Thank You page.

(In the example above, I only inserted the NAME field, but the same idea applies if you want to insert more)

Related guide: https://www.jotform.com/help/211-Setting-Up-the-Thank-You-Page 

Here's a quick demo form https://form.jotform.com/62586389569983 showing how it works. You may clone that form (here's how) so you can see how it was setup.