I am not going to put my five-penny worth in any of the camps whether those believing that astrology is a science, or those believing it isn't. Here, I will simply comment on some of the things that have been said by others.
As an aside, this isn't a criticism of science. Science is one of the best ways human beings have of acquiring knowledge. Scientific principles are not absolute beliefs, but beliefs we have good reasons to accept. Much of what is said below depends on the theories of Karl Popper.