Salaah

Women going to the Musjid

Q: I have heard that Women are now allowed to go to Mosque.

1) What is the Islamic law for Ladies to going to the Mosque?

2) Why Rasulullah (Sallallahu Alaihi Wasallam) didn't prohibits women from coming to Mosque?

3) Did Hazrat Umar (Radhiallahu Anhuma) stop women from coming to mosque in his era?

4) If women are not allowed to go Mosque then why in European countries women go to mosque for Salaah and women also go to Majid-e-Nabwi (Sallallahu Alaihi Wasallam) for Salaah.

Performing Salaah in the Musjid

Q: Is prayer in musjid obligatory? There is a hadeeth which says something like prayer not being accepted if you hear the azaan and don't go to the musjid. Also there is a hadeeth of a blind man and he wasn't given concession to pray at home if he heard the azaan. Also there is another hadeeth about the prophet (Sallallahu Alayhi Wasallam) wanting to burn the houses of those who don't pray in the musjid. Yet I heard zakir naik say most scholars say it is sunnah muakkada (maybe he meant if we don't hear azaan). Also if prayer is obligatory in the musjid if you hear the azaan, how should this be understood in modern times? Like literally if we hear it? What if someone lives right next to the musjid in a western country but they don't give the azaan through the external speakers of the musjid so the sound of the azaan can just be heard inside, where as in some muslim countries the azaan can be heard from a distance of even 500 meters because of the speakers. Or should we consider how far the sound would travel if done in an open area (desert) and give the azaan without speakers and see how many meters it would travel? Another thing to keep in mind would be thick infrastructure and noise also plays a role on how far the azaan would travel these days. Jazak Allah Khair. Please explain if there has been some ignorance present in my question pertaining to context of Ahadeeth. This is so important as not praying woukd be kufr and if our prayers aren't being in the masjid they might not be accepted. Also what about congregation prayer. Does that suffice? If he hears the azaan but prays in congregation somewhere else? Please provide evidence from Quran and Sunnah.

Status of the Sunnat Salaah while on safar

Q:

1) Whilst on Safar, are the four sunnats also reduced to two rakaats or does that rule only apply to the four fardh?

2) Whilst on Safar, is the 2 sunnah of Fajr compulsory and will one be considered sinful if they omit it?

3) If a person joins the Jamaat late and misses 3 rakaats in 4 rakaat fardh, they will stand up after the Imam makes Salaam, read 1 rakaat and sit for Tashahud again before performing the other 2 rakaats. Kindly explain which rakaats the Surah should be recited and which rakaats it should be omitted?