Etiquettes and respect for the Quraan

Q: What is the ruling regarding:

1) A person facing his back towards the qiblah? Is this at all disliked?

2) A person facing his back towards the Quran shareef?

Q: My cat fell asleep on top of the Qur'an Shareef and other Deeni kitaabs. Please advise on what I should do in this instance. Is it necessary to awaken and move the cat?

Q: Reading the Quraan in the office with shoes on is it accepted?

Q: When one does not have wudhu is it permissible to hold the quraan if it has a quraan cover on it? Some people say it is permissible to hold it although it is adab not to hold it.

Q: This wazifa I have seen on a web site. This wazifa can be read at any time with wadhu or withour wadhu for any haajat. Is it permissable? The wazifa is Surah Tawbah ayat no. 128 and 129.

Q: Is it permissible to recite qur'an on an ipad or phone without wudhu whilst touching the screen with a pen not with th hand to go up and down
and turn the pages as I have trouble keeping my wudhu.

Q: Is it permissible to hold the Holy Qur'an in the hand while it is hanging downwards?

Q: Can we read Qur'an without wadu?

Q: Is it correct to download Quraan paak application on one's mobile or some quraanic verses?

Q:

1. Can we read Qur'an on any digital device without touching (laptop or on mobile)?
2. Can we can listen to Qur'an during menses?