Can your Facebook account get banned or even hacked?

Yes, your Facebook account can get banned if you don't comply with their Terms of Use. That includes spamming, scamming, defamation, using multiple/fake accounts, and much more.

Your Facebook can get hacked if you're not careful. Always be sure to log out of your account when you're finished, and set your passWord as a very specific, secretive passWord. You may also want to change it regularly.