Is it permissible to repeat the Adhan and the Du'a of Iqamah in the lavatory (bathroom)? And does washing a child from impurities invalidate Wudu'?

A Muslim is required to remove anything containing the remembrance of Allah when entering the lavatory and to refrain from remembering Allah therein, out of reverence for Him. It is disliked to engage in verbal remembrance of Allah therein, and it is forbidden to recite the Qur’an absolutely. However, one may enter with something containing the remembrance of Allah if it is covered or if one fears its loss. It is not prescribed to repeat the Adhan or Iqamah inside the lavatory.