What is the ruling on vomiting, and does it invalidate ablution?
Vomit is impure (najis). Its exit is not considered one of the nullifiers of ablution. However, the mouth must be washed and purified from it, and any that gets on clothing or the body must be washed for prayer, because prayer is not valid with impurity present on the body or clothing. And Allah the Almighty knows best.
I hired a private tutor for my son through an academy that sends teachers [to families] and takes a percentage [of their pay]. At the start of the [new] school year, I arranged directly with that same teacher, without the academy's knowledge. What is the ruling on this?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah ﷺ.
The ruling on this matter depends on knowing the specific terms of the agreement and contract concluded with the academy. If the agreement stipulates that no arrangement may be made with any of the students except through the academy itself, then it is not permissible for you to breach the terms of this contract, based on the words of our master, the Messenger of Allah ﷺ: "Muslims are bound by their conditions." (Related by al-Bukhārī)
However, if the agreement pertains only to teaching a specific subject, and the agreement concludes once that subject is finished, then there is no objection to arranging with the teacher to teach other subjects after the contract period has ended, outside of the academy.
Whatever the case maybe, the teacher must uphold the terms of his contract with the academy. And Allah, the Exalted, knows best.
Is it permissible to fast the six days of Shawwal before making up for the missed fasts of Ramadan?
● If a person missed fasts due to a valid excuse, they may fast the six days of Shawwal before making up for Ramadan fasts, because qada (makeup fasts) in this case can be delayed, while the six days of Shawwal must be observed within Shawwal.
● However, if a person missed fasts without a valid excuse, they must make up for the missed fasts immediately after Eid, before fasting the six days of Shawwal. If they fast the six days first, it is valid, but they must still make up for the missed Ramadan fasts afterward.
It is also permissible to combine the intention of qada (makeup fasts) and the six days of Shawwal in one fast. However, it is better to fast them separately, as this increases the reward and avoids scholarly disagreement regarding combining intentions.
What is the ruling of islamic law on statutory (legal) interest awarded by a court?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
It is permissible for a person in whose favor a judge has awarded statutory (legal) interest to deduct the actual litigation costs incurred in filing and prosecuting the lawsuit from these interest funds.
Any remaining balance beyond those actual expenses must be returned to the party upon whom the payment was imposed, provided that party is a specific individual. If, however, the paying party is a public entity or state institution, the remaining amount should be spent on the general public interests of Muslims—such as schools, mosques, roads, and similar public utilities shared by the community—or given in charity (Sadaqah) to the poor and needy. And Allah Almighty knows best.