Handsome Jack is no push over. He is a bit annoying actually as he can cloak as well as summon duplicates of himself. The duplicates are your source of Second Winds throughout the fight against Jack. He is not too hard if only because he does not have the greatest variety of attacks
Jack can also unleash a barrage of plasma energy. It does fair damage. He also has some Surveyor Support which will occasionally shield him. He can also charge the Vault Hunter and punch them, inflicting some knock back.