Macbook pro charge cord stopped working & shuts off unexpectedly

Hello,

All of a sudden, my charge cord has stopped working - I'm not sure if it's my actual computer or the cord. It does not light up at all anymore and the battery icon says "not charging" sometimes. It also will shut off unexpectedly and when I manually turn it on I get this message "can't verify the identify of the website" and the clock gets set back....help