What is the ruling of Sharia on learning the Maqaamaat (melodic tunes and sounds) and reciting the Quran according to them?

A Zakat committee plans to build a special room for burning worn-out copies of the Noble Quran and papers containing mention of Allah. The burning process is conducted in a clean place far from residential buildings and the ashes are buried in a clean place as well. What is the ruling of Sharia on this?

Is it permissible for a woman to recite Quran in a gathering attended by non-Mahram men?

What is the ruling of Sharia on quoting from the Noble Quran and including its verses in people`s speech?

I wanted to hang a framed Quranic verse on a wall of a mosque; however, the people there objected to that under the pretext that the Quran has been sent down to be acted upon and not for decorative purposes; what is the ruling of Islamic Sharia on this issue?