Is it permissible to make up for missed fast after the beginning of the second half of the month of Sha`ban (the month before Ramadan)?
Yes, it is permissible, but one who had missed fasts should hasten to make up for them. As for the Hadith mentioned in this regard, the prohibition is for offering absolute voluntary fasting. And Allah Knows Best.
Is the Aqeeqa due on the newborn in case of dying almost a month after the delivery?
Offering Aqeeqa after a week of a newborn death is recommended.
After I had prayed, I found a drop of menstrual blood and was unsure when that happened; what is the ruling on my prayer and fast?
All praise is due to Allah, peace and blessing be upon the Messenger of Allah.
Your prayer and fast are correct ,and you should not make up for them, and we ask Allah, The Almighty, to duely reward you for these acts of worship. Your menses start once you see blood because the situation remains as such unless there is certainty or predominant conjecture, as per the Fiqh maxim: "Certainty is not removed by doubt". And Allah Knows Best.
I work at a company that provides cash advances of 800 dinars, 1000 dinars, or 1200 dinars, depending on the employee’s years of service. An administrative fee of 40 dinars is deducted from the amount in the first month, and the remaining amount is repaid in installments. What is the ruling on this, knowing that the deducted amount (40 dinars) is fixed?
We fear that the deducted amount may be a means of circumventing interest (Riba). If the deducted amount is equal to or less than the actual administrative expenses, then there is no issue, as some scholars permit the borrower to bear the costs of documenting and managing the loan. However, piety suggests refraining from taking this loan under these conditions, as dealing with private individuals and companies is not the same as dealing with the state, which spends from the public treasury. And Allah Knows Best.