There is no vaccine for hepatitis C.

There is no harm or benefit from giving hepatitis B vaccine to someone with hepatitis B.

Hepatitis C and hepatitis E have no vaccine to prevent the disease. Although there is no vaccine to prevent hepatitis D, you can only get this type if you're also infected with type B. Therefore, hepatitis B vaccine indirectly prevents hepatitis D.

Since Hepatitis B vaccine only protects against Hepatitis B, the only thing the vaccine controls is Hepatitis B infections.

There is currently no vaccine available against Hepatitis C. There is research going on to develop one but it will take years at least before one is developed.