Etiquettes

Q: I wanted to know if a female can say Assalaamu alaikum to a male non mahram and vice-versa?

Q: Is it ok to just say سلام عليكم? In Hayaatus Sahaabah (Part 2), under chapter 9 -

خروج الصحابة رضي الله عنهم من الشهوات - :التسليم على المسلم - عمل ابي امامة رضي الله عنه في ذالك

A riwaayah comes wherein Abu Umaamah رضي الله عنه said this.

Q: I have been advised to omit the salaam when sending out a wake up for fajr reminder. The sender says those who do not respond will be deemed to be sinful. Kindly advise. 

Q: How can I write the salaam? I mean "As-salamu alaikum" in a proper way in English. Nowadays most people are writing salaam in English in different ways. Please explain whats the correct and incorrect way.

Q: Two people are entering a house. The first person who enters says assalaamu alaykum. Should the second person who enters say wa alaykumus salaam, in response to the first persons salaam or should they say assalaamu alaykum as we learn is the etiquettes of entering a house??

Q: Do we have to reply to someone who greets us by just saying 'salaams'?

Q:

1. Should I reply to the "assalamualaikum" written in an auto reply, because it's coming from the computer and is not verbally said? 

2. What is the ruling on typing "asak wr wb" and other similar short forms of salaam?

Q: If two people depart after meeting then saying salam is required or Allah Hafiz? 

Q: If a person is far away (so far away that he can not hear us) and we want to make salam to him. How should we do it? Should we say salam with the mouth and make a sign or just make a sign? How will this person reply to our salam? Will it be wajib to answer salam? Will he have to answer with the mouth only or by sign?

Q: To make Salam to others is sunnah. If a person does not ever make salam to others, is he a sinner? Can we blame him?

If a group of people come to another group and nobody in the group does Salam, will they be at fault?