Is it permissible for someone to make a supplication to Allah to marry an already married, or an engaged woman?
No, it isn`t, and the person who does so is sinful before Allah, The Almighty.
Is a wife considered divorced if her husband refused to go to bed with her (for sexual intercourse) for two months?
A wife doesn`t get divorced no matter for how long her husband refuses to have sex with her, and she had better go to court.
I am an employee at Social Security, and I have heard that working with them is forbidden (haram) because they impose an interest rate of 2% on companies and individuals who are late in making payments. Is my job with them haram or questionable?
Please clarify the type of work. If it does not involve the usury (Riba) mentioned, we hope that there is no issue with it, as most of their funds are acquired in a lawful (Complies with the teachings of Sharia) manner. And Allah, The Almighty, Knows Best.
I took a car from the Orphans' Fund Development Institution; is there usury (Riba) involved in this transaction?
If the Sharia's conditions were met, then there is no harm in this. And Allah The Exalted Knows Best.