Does Husband fasting while being impure for having sexual intercourse with his wife at night permissible?
Yes it is permissible for you to fast because impurity isn't among valid fasting conditions, but you are obliged to perform ritual impurity in order to catch up Fajr prayer at its due time. And Allah Knows Best.
Is it permissible to use the term 'Al-Jalalah' (Majesty) for anyone other than Allah, The Exalted?
In the Arabic language, a man of dignity and reverence is described as 'Jaleel' (noble), and similarly, an elder or a woman of dignity may be described as 'Jaleelah'. In such contexts, one may use the title 'His Majesty' or 'Her Majesty.' However, the Majesty of Allah, The Exalted, is unlike the majesty of humans, just as His hearing is not like our hearing, and His sight is not like our sight. And Allah The Almighty Knows Best.
Is it permissible to listen to chants praising the Prophet if accompanied by musical instruments?
If singing, or chanting in praise of the Prophet was accompanied by a forbidden musical instrument, then it is forbidden.
What is usually said upon the slaughtering of the Aqeeqah (the sheep slaughtered on the seventh day from the child`s birth)?
It is desirable to say: "Bismillah Alrahman Alraheem, was`salatu Wa s`salamu Ala Sa`idenah Mohammad, O Allah, this Aqeeqah is from You and to You on behalf of ….."