Hi,
It seems like a problem with the keyboard itself already but do try these troubleshooting steps that may help.
- Start by doing a hard reboot, remove the battery and unplug its AC adapter then press and hold the power button for 20 seconds then try it again.
- If it doesn't work proceed with uninstalling/reinstalling the keyboard driver.
- Go to Device Manager and uninstall the keyboard driver.
- Reboot your laptop once the uninstalled and it should reinstall the driver automatically upon reboot.
- If these will not work your last option would be to reinstall Windows because if that doesn't work you'll need to replace the keyboard.
Here's a keyboard replacement for your laptop.
http

/www.amazon.com/replacement-Satellite-C55-B5352-C55-B5353-C55-B5355/dp/B012NI560A