Zakaat on a joint account

Q: My wife is a housewife and does not earn an income. I provide her with an allowance as well as contribute into a savings/investment account for her.

Questions:

1. Is she liable for zakaat on the money in her investment account (which I contribute towards) or am I?

2. If we have a joint savings account (in both our names), who is responsible for the zakaat in this account?

3. Since we are married in-community-of-property, would she be responsible to pay zakaat on any investments that are in my name?

Maintaining purdah when keeping family ties

Q: What is more important: segregation between men and women or keeping family ties?

I am asking because in my native place and family, people have almost completely left the rules of segregation between men and women. So, I'm afraid to visit my family members. I have been concerned about the rules of segregation that I stopped visiting my relatives for a long time. But because of this my relations with family members became really bad, which is another bad thing in Deen.

Also, in my current situation I can't survive alone. I need help from my family to survive. I cannot stop visiting them.

Also, many of them are not able to understand my stance on this issue. Many of them are getting a bad image of Islam when I give less importance to family relations. They seem to be going further away from Deen and Imaan because of me.

So, how should I balance?

I am a weak hearted person. I may not be able to boldly oppose the malpractices when I visit my family. Also, I can't bear to see their hearts broken because of me. I am also not able to convince them of our rules.

Now, I am feeling that I should give more importance to maintaing family ties. I am feeling that I should visit them even if I may unintentionally do some sin in the process. Is this the right way to proceed?

Trimming one’s hair with a machine after performing a second umrah

Q: After completing my first umrah, I removed all my hair using a zero trimmer. After 2-3 days, I performed a second umrah and again removed my hair using the same zero trimmer (though the hair was very little). I was in doubt in regard to whether I did the correct thing or not by using a zero trimmer. Is my second umrah valid as I used a zero trimmer? 

Undergoing trials

Q: My baby has been having seizures since birth. He has brain damage and other complications. Doctors are perplexed by his problems. His brain mri shows damage but not that much. Still his seizures are persisting despite taking 4 medications twice a day. Medical science is not able to say with certitude what is making him having these seizures (infantile spasms). My baby is 16 months, doesn’t move, doesn’t talk, doesn’t swallow properly, no neck control. I am so so down. I cry with Allah everyday for my child.