awww! i love binkies!
i remember the first time my rabbits did a binky it was like the most thrilling thing i had ever seen! i think they do them cause they are just so happy to be alive and so happy to have found a home with you!
i am not sure about the whine.
what kind of whine is it? is it loud or just a low little coo? my rabbit Thimble makes a little cooing noise sometimes when i cradle her in my arms like a baby. hehehe. it could just be the way your bunny is expressing her happiness.