Rehab and Ahmed Amer Foster Care Improvement Act of 2013 - Amends part E (Foster Care and Adoption Assistance) of title IV of the Social Security Act to revise requirements that states must follow to contact the adult relatives of a child removed from the custody of his or her parents.

Requires the state, within 90 days after making a placement decision, to provide notice of the decision and the reasons for it to each parent of the child, each relative who has expressed an interest in caring for the child, the guardian, and other specified parties.

Requires the state to establish procedures to: (1) allow a person who receives such a notice to request documentation of the reasons for the decision involved, (2) allow the attorney for the child to petition the court involved to review the decision, and (3) require the court to commence such a review on the record after receiving such a petition.