Can Sasuke use his Rinnegan to bring Jiraiya and Itachi back to life? After achieving both Rinnegan and Sharingan in his left eye, can Sasuke use Rinne Rebirth Jutsu to bring Jiraiya and Itachi back to life?
If you are talking about Gedō — Rinne Tensei no Jutsu, then there are some restrictions:


First of all you need the body of the dead person


  To perform this technique, the user summons the King of Hell, which then releases the souls of the deceased from its mouth. With their rejuvenated bodies acting as an anchor, the deceased individuals' souls are able to leave even the crossroad between life and the afterlife, returning back to their physical vessels.

The person who used the jutsu dies


  Ultimately, once the technique is finished, the user inevitably dies.



I don't know about Itachi's body, but Jiraiya's was lost that even Kabuto was unable to find it.