unlikely the problems are related, but its not impossible
try reseating the keyboard ribbon cable, if that doesn't help then get a new keyboard
here's two offerings from Ebay, there will be plenty of others
New Toshiba Satellite Pro C660 UK Original Keyboard | eBay
Toshiba Satellite C660 Keyboard New UK Fits C650 C665 L660 Black V114326CK1 on eBay!
Simple to change these as long as you don't break the plastic strip when you lever it out......
Its worth noting that this model series has a particularly nasty keyboard - the keys are too soft to the touch, and its a fine art between the touch not registering, and them "sticking" with resultant double keying.
Not a range of machines for use by a heavy user typist