evolution theory is based on random selection
No, it is not. Evolutionary theory of natural selection is based on just that, natural selection. Natural selection is based on natural pressures
causing certain individuals to be favoured.
The picture that does emerge, (idea) does not reside in the material of the puzzle, matter does not think, but it certainly will hold an idea in the
form of ink to convey design.
The analogy was not of evolution itself, but of the science used to understand it. That is my answer to the third "error" as well.
(4) Purposefulness, does not reside in matter, but it certainly will hold an idea, but does not think, therefore the example of the altered mousetrap
as a tie clip, and its usefulness resides in the intelligence of the person wearing it,(idea).
Perhaps, but adaptations on a animal will be used ore or less intelligently, eliminating the need for a "guiding hand". Hence the validity of the
tie clip example.