Yes, I would say every system has self-awareness.

You say "reasoning" is needed. Ok, but how is that defined? Say you "ask" the cog why it turned by rattling it. Then it will rattle the other cog and, therefore, point you towards it. And you might say "Oh, I understand. You turned because the other cog pushed you". You might say that is just a mechanical mechanism. But if you look at human behavior close enough, it's just a mechanical mechanism too.