I am honestly not sure whether you are using Graphics2D in a way that
I simply haven't learned before, or if you don't understand what
Graphics2D is supposed to do for you.

But I suspect it's the latter.

You draw things by calling g.drawRect(), g.drawLine(), etc.  As far as
I know, Graphics2D objects don't "remember" a particular drawing and
let you repeat it.

   The Graphics2D doesn't actually store the image you drew; rather it is
the object you use to do the drawing. It's like the difference between a
piece of paper and a pen. The paper stores the image, the pen draws the
image.

   I believe Java breaks the analogy here in that Graphics2D objects are
associated with specific Images (e.g. the pens only work on the paper
they're associated with; you can't use a pen from a different piece of
paper).

   Since you've already drawn something somewhere, you could probably copy
the image from that object, then pass it to your new graphics object, and
tell it to draw an exactl duplicate of the original image. To determine
whether or not this is possible, I'd have to see the code where you actually
draw the image, and how it interacts with the code where you want to draw
the image a second time.

   To make sure you post enough information without posting too much
information and bore your readers, try to craft your code into an SSCCE.
http://mindprod.com/jgloss/sscce.html

   - Oliver

   My understanding of the OP's request is this:

   (S)he creates a Graphics2D object (or has one created).
   (S)he then calls the various draw() methods on that Graphics2D object
(e.g. drawRect, drawLine, etc.)
   (S)he then wishes to use that Graphics2D like a rubber stamp, pasting
the image (s)he drew once onto several images without making new sequence of
calls to drawRect, drawLine, etc.

   In other words, (s)he is erroneously assuming that the Graphics2D object
is storing the image that it drew, when actually that image would be stored
in the corresponding Image object, and not in the Graphics2D object.

   - Oliver