Yes. A rabbit's natural way of cleaning itself is by licking itself including paws.
they lick them selfs and monkeys wash each other fur
Yes. It is a good idea to wash or wipe their paws thoroughly after bringing them in from a walk. Also, pets can sometimes ingest the salt by licking their paws or licking the ground directly, so watch for that, as well. There's a good article on the subject in the related links below.
In the wild, wash bears clean themselves by grooming their fur with their paws and licking themselves. They also may roll in water or mud to help remove dirt and parasites from their fur.
There is nothing to worry about. Cats like to dip their paws in their water dish to wash their paws and etc. In your situation your cat must of dipped his/her paws in their water and touched your head when his/hers paws were still wet.
rabbits lick themselves to wash
Raccoons wash their food by dipping it in water or rubbing it with their paws before eating it.
i wouldn't recommend it
It is generally not recommended to wash rabbits with Dawn or any other soap/shampoo as they have sensitive skin and grooming themselves is their natural behavior. If your rabbit truly needs a bath, it is best to use specially formulated rabbit shampoo and consult a veterinarian beforehand to ensure their safety.
There is a product at Petco, its called Bunny Bath use that to wash your rabbit. You could also use it on Guinea Pigs!
Ofcourse they can but,the pee from rabbits and all animals is not good they must wash a 15 sec not taking a bath and its name is "tawadee"
Getting rabbits wet is probably not good for their health. Wash their feet if they get urine stains on them or so forth but they can chill easily, I highly do not recommend bathing rabbits!!!
No it will kill it. To wash it, wipe it with a wet cloth or baby wipe.