Whatever was I thinking reading and believing the Early Fathers of the Church and their wrong-headed ideas about the historicity of Jonas(shall I list them all for you, brother?) when all I had to do was ping you for the definitive answer.
Sinkspur locuta est, Causa finita est :)
He was wrong about reincarnation.
I invite you to contrast John Paul II's theology of the body and his exaltation of marital sexuality as an icon of the interior life of the Trinity with Augustine's pessimism regarding the depravity of the human condition, particularly in the area of sexual desire, which he said was basically disordered and should be separated from the desire for procreation.