Can I open the app automatically when the device turns on?

While Kiosk Pro can't do this automatically, it is possible to set up the device to boot into an app using iOS's Single App Mode.  

Single App Mode is similar to Guided Access, but cannot be exited using the Home button and passcode and does not show an on-screen alert like Guided Access when the Home button is pressed.  Also unlike Guided Access, Single App Mode returns the device to an app following a complete reboot.

Single App Mode does have specific requirements - more information on these here.