1- It is not permissible for you to touch the Quran without wudu according to the majority of scholars. 2- It is permissible for you to recite the Quran without wudu from memory but you should not touch the Mus-haf.

The more correct opinion is that Sujud al-Tilawah is an act of worship, but it is not like prayer. So, it is not essential to be in a state of wudu or to face the qiblah when you offer sujud al-tilawah.