Why Did Esme Jump off a Cliff?

She agreed to the marriage only to please her father. He was abusive, however, and shortly before her suicide attempt Esme, then pregnant, ran away from him. The baby died soon after birth and Esme jumped off a cliff in an attempt to end her life.

Why does Esme have no powers?

In any case, Esme Cullen's lack of a superpower comes from the fidelity that Twilight's movie adaptations had to their source material — for better or worse.

Why did Carlisle turn Esme into a vampire?

He found her dying in the streets of Rochester, New York in 1933, after he smelled the blood, and could tell that she had been brutally raped by her drunk fiancé and his friends. He decided to change her into a vampire to save her life.