All of the steps in the argument, other than the inference from (1) to (2), are deductive, and are either clearly valid as they stand, or could be made so by trivial expansions of the argument at the relevant points.
As regards the logic of the argument, all of the steps in the argument, other than the inference from (1) to (2), are deductive, and are either clearly valid as they stand, or could be made so by trivial expansions of the argument at the relevant points. The upshot, accordingly, is that the above argument appears to stand or fall with the defensibility of the inductive inference from (1) to (2). The crucial questions, accordingly, are, first, exactly what the form of that inductive inference is, and, secondly, whether it is sound.