I know others have already pointed this out, but just want to add my own two cents....
Vegan refers to lifestyle and encompasses diet, clothing, household products, etc.
Strict vegetarian is someone who refrains from eating animals or animal products but may wear or use animal-derived products.
As for the fish and chicken thing .... I posted this sometime back, but it bears repeating...
Calling yourself a vegetarian because you "only" eat fish (or chicken, or whatever) is like calling yourself a Christian because you only worship Satan one day a week.
Point is, the two are mutually exclusive. You can't eat animals -- and fish and chickens are animals -- and be a vegetarian. That would make you a semi-vegetarian, which is fine, especially if you're working toward veg*ism.