Rebooting an instance is like rebooting a PC. The hard disk isn't affected. You don't return to the image's original state, but the contents of the hard disks are those before the reboot.
Rebooting isn't associated with billing. Billing starts when you instantiate an image and stops when you terminate it. Rebooting in between hasn't any effect.
An instance reboot is equivalent to an operating system reboot. In
most cases, it takes only a few minutes to reboot your instance. When
you reboot an instance, it remains on the same physical host, so your
instance keeps its public DNS name (IPv4), private IPv4 address, IPv6
address (if applicable), and any data on its instance store volumes.
Rebooting an instance doesn't start a new instance billing hour,
unlike stopping and restarting your instance.
Further, they recommend:
We recommend that you use Amazon EC2 to reboot your instance instead
of running the operating system reboot command from your instance. If
you use Amazon EC2 to reboot your instance, we perform a hard reboot
if the instance does not cleanly shut down within four minutes.