It is begging the question. First, you are *assuming* what is said in the Bible is the basis of a valid argument. Unless you can independently support the validity of the Bible, this is bad logic.
But, you are getting the *claim* that God creates order and the claim that order proves the existence of a God confused. The two propositions have little to do with each other. It may well be that order is *also* produced in other ways. And, it is possible it exists even if a God does not.
Your claim that every law has a lawmaker is true for *human* laws, which are prescriptive. It is NOT true of the 'laws' of nature, which are *descriptive*. This is a combination of the error of equivocation (claiming different types of things have common properties) and a false generalization (human laws have human lawmakers--that doesn't imply ALL laws have a lawmaker).
So, yes, that is hand waving. It is waving the arms so that people ignore all of the logical gaps your argument has.
No other book describes the sinful nature of humans to a T. The Bible is unique in that sense. How could order exist in other ways if there is no God, and why would it? Order cannot exist without a God. The trees need us to live and we need their oxygen to live.