Yes (many causes) Hepatitis is inflammation of the liver, caused by infectious microbes (viruses, parasites, etc...) or toxic substances (alcohol, medications, iron overload, autoimmune antibodies, etc...) and has symptoms which include jaundice, fever, liver enlargement, and abdominal pain. Since there are many causes of hepatitis, an unlucky person can get hepatitis more than one time.
Yes indeed. There are three main kinds of viral hepatitis, A, B and C (and rarely type D, but that occurs only in people who already have hept B). People are immune to a second infection with any of them, but you certainly can get the other types. Also, there are non-infectious forms of hepatitis, and many liver conditions that technically aren't hepatitis but cause similar problems.
Yes. There are several types of hepatitis so you can get it more than once.