Salaah

Reciting a surah after surah faatiha before going into ruku

Q: I was praying maghrib. After reciting Surah Faatiha in the first rakah I forgot to add another surah and was going for ruku. I opened my arms but just when I said "Alla-"(of Allah Akbar) I realised my mistake. I once again joined my arms and recited the second surah and did rest of the salaah normally. I did not do sajda sahw. Is my prayer valid? 

Also is sajda sahw valid for all mistakes in salaah or is it invalid if you missed fards of salah?

Woman travelling without a mahram

Q: Please advise on the following situation: 

My wife has one sister, who is younger than her and unmarried. Their mother passed away last year. Her sister is working and currently stays alone. 

My wife has asked if her sister can join us on holiday as she has no one to travel with. 

Furthermore, my wife has proposed that if I do not agree to her sister joining us on holiday, she will have no option but to travel alone with her sister and our children to either Durban or Cape Town.

 My wife does not feel comfortable leaving her sister alone at home, nor does she feel comfortable with her sister travelling alone. 

Please advise if any of these options put forward by my wife are permissible. Are there any other options that can be considered?