Do you have Test Drive form templates for automotive? Do they push to database?

Hello!

I can suggest to take a look through our templates gallery to see if there is a form you would like to use: https://www.jotform.com/form-templates/ 

If not, you can always simply build a form using our platform, here is how: How-to-Create-Your-First-Web-Form

Regarding your second question, we have numerous integrations options: https://apps.jotform.com 

But, if you will need to push submissions to your custom database, you can also set this up with JotForms. Here are some related articles: 

How-to-Post-Submission-Data-to-Thank-You-Page

How-to-send-Submissions-to-Your-MySQL-Database-Using-PHP