Well, I must say it is good to see that he is finally coming out of his cage again, but I'm so sorry to hear that he's been neglected so badly throughout his life (Is this what you were looking for, it's how I feel after reading this).
All I know is you and your family will give him the best life possible, no matter how much time he has left (and hopefully like others have said, he has longer than they think).
Thank you Anna for rescuing this sweet bun, I think he's just beautiful with his newly shaved bunny bum