Make a list of ten things you like about yourself. It can be anything-- your hair, your mathematical ability, your taste in music. The ten things can be significant or trivial. It doesn't matter, so long as you truly believe them. Once the list is in place, you should think about each of those things, and acknowledge that there is legitimate worth in having each one of those qualities.
You claim that "positive thoughts always resulting in positive things" is not the basis of the LOA. In part you are correct. The foundational basis in science, as I alluded to in the article was that thought stuff particles travel through ether (not air) and interact with formless stuff to create whatever it is that you are thinking about. This was how "the law" started.

How To Manifest What I Desire