Assisting someone who has no income with zakaat

Q: My father's sister who is above 60 years is a diabetic patient and has no kids to support her. Her husband died last year as well so she is alone by her own because her brothers and sisters have already died. We support her financially from Zakat money because she had no source of income at all. After her husband died, she got some money which her husband had saved in the bank and that money is equivalent to US$7,000.00. Can we still continue supporting her from Zakaat money as she still does no have any source of income? Please advise.

Getting paid for an absent day

Q: If I took leave on some working day of job and the HR/admin has mistakenly updated that I was present at that day in online system and the HR has asked me to sign on that day and I also signed forgetfully that I was absent that day in confusion, then only I realized that I have made a mistake. Now, that day's salary will be haraam or halaal for me? I asked HR to change the present as absent but he said it is not possible now. What should I do? Can I work on compensatory working days without any extra pay and make that up?

Urine exiting

Q: What is actually urine exiting, whether it should exit the tip of the private part or I can say as urine exited by just seeing some drop of urine within inside outer most tip of private part but not came out fully.

Written oath

Q: Is a written oath on the name of Allah Ta'ala in a text message considered as a true oath or a false one? It was not spoken verbally, only written.

Study medicine and engineering

Q: What are the rewards of doing a fardh kifaya act? For example if there is no Muslim physician, engineer, physiotherapist, etc. in a Muslim community (in a region where majority are Muslims compared to kafirs) only kafirs and a single Muslim decides to pursue one of those professions, what is his reward?

Impurity on the bedsheet

Q: My question is that if I am sitting on my bed with my blanket on side touching me and if I pre ejaculated in my underpants and it gets more than 2.76 cms (a dirham coin) then will my bedsheets and blanket becomes impure if I stay in bed for an hour or so before bathing?