Participating in a game named secret sheep for eid which was derived from the game secret santa

Q: Knowing that giving gifts is of great merit and is encouraged in Islam... 

Is it permissible to participate in a game named as secret sheep for eid which people exchange gifts... since it was derived from the name secret santa and the rules etc. all are derived from the secret santa (done on Christmas).

Assisting one's mother financially

Q: My mom divorced 15 years ago. My dad died 10 years ago but after his death since we were kids, mom decided to come and stay with us. She doesn't share any inheritance saying it's her right and her property and the rent which came from the property she favours the eldest brother and doesn't give us any of the part for 9 years. 

Now I am married and she's demanding me to take care of her monthly allowance which I simply denied because I am living separately and said that for 9 years you didn't give me my money that we got from tenants neither the share of the inheritance so why would I give you the allowance. Is it allowed for me to deny the request based on that or should I give her the allowance which I know will be given to my eldest brother who's 28 and physically good enough to earn by his own but he doesn't since he's spoiled by my mother and doesn't will to work or contribute to the house at all?

Salafi woman saying that a woman should wear niqaab and gloves whenever her husband is not home

Q: I have been coming back to Islam since Ramadan alhamdulillah. Before Ramadan I practiced Western version of Sunni Islam by dress and behavior. Since then I'm feeling pull towards salafi methodology. 

I've begun being mentored by a kind salafi woman MashaAllah. 

She says a woman should cover with niqab and gloves any time her husband is not home, even if she's not being seen by non mahram. She said it's an act of worship and a way to show and ask Allah Ta'ala for extra protection while my husband (protector) is not home. 

Is there Islamic basis for this, is this from culture, or from her specifically? 

Secret nikaah

Q: I am married and a widow who  has children of his own wants to make Nikah with me, but we both want to keep it secret (although in Islam nikah should be notified to family and friends) but in our current circumstances it is very hard. She says that she does not require anything from but to fulfill her sexual desires. We both agree on this that it will remain a secret and will not affect both families at any level. 

As her children are elders and she said that her children will not accept my decision and hate will grow if she declares nikah. So as husband I will fulfill her nan-nafqa although she is repeatedly denying as she is earning so she said she won't require anything. 

The main purpose for this nikah is to avoid sin. So what should we do as a declaration will lead to unpleasant results from both families. 

Please guide in all possible scenerios.

Earnings of a person who works for a company that has some wrong dealings

Q: If I become an electrical engineer and my company takes interest from a bank, will my income be haram? 

If I become an electrical engineer and the company does something haram in a way that they think it's halal (since they don’t know that saying haram is halal is shirk), will I become a disbeliever or sinner for working in that company? 

If my company works with another company that does haram activities or considers haram as halal (since they have no idea that calling haram halal is shirk), then for working in such companies, will I become a disbeliever or sinner? Will my income be haram? Will having the desire to work in such companies make me a disbeliever or sinner? 

If the people in my company are Muslim but they commit shirk or make mockery of Islam, or if they work with companies that do such things — then will I become a disbeliever or sinner for joining those companies? 

And if those companies are at a very high level and offer a handsome salary, will wanting to work there make me a disbeliever or sinner?