Does personality prove self-consciousness? If an animal has a defined and changeable personality (can get depressed, etc.), is it then self-aware?

There is a difference between consciousness and sel-consciousness. It is one thing to be aware of things around oneself, or even of one's own physical states, and another to be aware that one is so aware. The latter is self-consciousness. Personality is yet a third thing. As a reasonable first pass we could take it to be a bundle of behavioural, affective and cognitive dispositions. Those would seem to require consciousness, but not self-consciousness.