It is simply a shape which has two bases which are regular polygons. There is no special name for such shapes.
cylinder
A regular tessellation is based on only one regular polygonal shape. A semi-regular tessellation is based on two or more regular polygons.
two polygons with sides that have all equal sides and angles
The polygons are said to be similar.
Yes, regular polygons will have all sides equal length, and all angles the same. If two polygons of the same number of sides are 'regular' then those two polygons will be similar (they may be scaled, for example).
Sounds like a rectangular solid to me, such as an elongated box.
parallel polygons.
All angle of two similar regular polygons must be equal.
A prism has two parallel and congruent bases in the shape of polygons. Example - a cereal box (is rectangular prism). The top and bottom are rectangles(a polygon). They are the same size and shape (congruent) and also parallel. A cube (think of six sided dice) is a special rectangular prism. Imagine a a box where the top and bottom are triangles (of the shape size and shape). This is called a triangular prism.
no.
A polygon. A prism has two identical bases or end-faces and these can be polygons with any number of sides.
That would be some kind of prism. To answer the question more specifically, I would need to know the shape of the bases.