Hi, Welcome to the forum and thanks for fascinating video!
I'm a rancher and have a gazillion animals.. (OK, maybe not that many, but it can sure seem that way when it's time to feed the critters.)
We have cattle, a horse, dogs, cats, goats, chickens and a snake. With the exception of the cats and the snake, all the animals are "social" animals, with more on the cats, later....
The horse used to have other horses around, we gave up the mares a while back. He's a gelded male. We've always had a number of cattle, but not a huge amount and we don't have any other pasture except right at our ranch, so I can observe them... same with the other animals.
Once one understands the social order, one sees that animals most certainly have sense of justice, fairness, and empathy for one another. With the cattle, the social order tends to be: Eldest female rules the herd, with the hierarchy going from the eldest female through her adult daughters, then other adult cows, the babies of the eldest and her daughters then the other babies. This hierarchy is well established and maintained. Bulls and steers can more or less come and go as they please, and when a bull is courting a young heifer, all but the eldest female will defer to her. Until the mating takes place and the bull no longer is all that interested in just her... then she takes her accepted place in the hierarchy again.
When it's winter and the herd cannot eat until someone goes out and feeds them... the younger of the heifers will be the "designated mooer"... the one whose job it is to stand by and moo, moo, moo until someone comes out to feed.... Once somebody comes to get the hay, the moo changes from calling out to the humans to calling the rest of the herd. The reward for doing all this calling is that she gets to eat last.
There is also the "babysitter"... when the calves are born, one cow will stay with the babies while the other go graze... then someone will come and relieve the babysitter and she'll go and graze...Rarely is the eldest female the babysitter... however, our eldest cow, Molly has more or less "retired" and her eldest daughter, Sarah is now the matriarch. Now Molly is becoming a babysitter more often...
It really is fascinating to observe animal society... again, one needs to observe enough to understand each animal's society and understand how they are interacting within the rules of that society... but when one does, a whole new understanding of God's creation opens up!
As for empathy...one sees it as well... Take grief for instance: The cows, chickens and horses don't show a lot of grief.... however the dogs and cats certainly do. I believe this is because death is so much more a part of life for the prey animals than for the predator animals. The cattle, chickens and horses are fairly matter of fact about death... the dogs and cats grieve, withdraw, refuse to eat and show signs of depression.
Obviously, as a Christian, I don't believe that the morality we see in the animal kingdom is due to "evolution" as much as it is due to the way God created them... I'm not sure how science would even be able to establish an evolved morality... as the fossil record cannot show us things like the co-operation of chimps, designated mooers of ancient cows or the fact that a dog grieves for it's dead companion.
There is an ongoing debate around here as to whether or not animals have souls and will they be a part of the resurrection and new earth we Christians believe in. I believe they do and I believe that God created all the souls in His kingdom to have morality that is appropriate to their particular species.