If you have cirrhosis of the liver does that increase your risk of liver cancer?

Yes. Cirrhosis is the strongest risk factor for developing primary liver cancer, also called hepatocellular carcinoma (abbreviated as hcc).
Yes. Beyond cirrhosis, the only other cause is chronic hepatitis b.
Absolutely. Cirrhosis of the liver is the most common risk factor for the development of liver cancer. The highest risk is in patients with viral hepatitis (b or c). There are surveillance programs around the country and the world for patients at risk.