Yes they do, whether it's remembering the death of their owner or another dog or cat that they were friends with. They grieve much like people do just like people each dog is an individual and will grieve in a different way. You should read the book 'Greyfriars Bobby' and many stories about dogs that grieve. I've seen dogs leave the home and walk miles to a cemetery to lay across their owner's grave. Just like people, in time the dog will come to terms with it with the help of the family or its new owner.
Family
dogs and wolves are members of the same family
They are all members of the Musteloidea super-family. Wolverines and otters are members of the mustelidae family, and skunks are members of the mephitidae family. Until recently, skunks were also considered to be mustelids but have now been moved to their own family.
Dogs are members of family Canidae.
Dogs and wolves are members of the same species, just different subspecies. Dogs are, basically, domesticated wolves.
Dogs and wolves are both part of the same family
Panthers are members of the cat family.
other predators.
Yes. American Bulldogs are good with family members, children and other pets, but some can be scrappy with strange dogs.
Old Dogs
No - humanity is limited by species to Homo sapiens. While cats and dogs are often treated as members of the family by some humans, they are not humans.
* African Hunting Dogs * Coyotes * Dingoes * Foxes * Wolves