How do I restore deleted app on iPhone?

I'm not understanding what you want to do.

If you deleted the Cracker Barrel app, then you also deleted "your schedule and so forth".

You can download and install the Cracker Barrel app again, but it won't have any of the data about your schedule and so forth unless your user name and password is still good.

Some Apps cannot be deleted, they just hide. Which App did you "delete"?

What happens when you search for the App using the App Store and try to download it?