Both were once assumed to be absent in animals. Now we know it was a wrong assumption. There is very little that we have that other species do not. Larger brains is about all we have.
Wrong. Empathy and reflection in animals is way too limited to generate morality. Animals are 100% selfish even those living in social groups.
Yes, but you should look at more than just personal experience with pets. Pets are bred for specific traits. It is better to look at studies of other species.