Prayer

This is not correct. A woman can pray in dhur in her home as soon as the time for thuhur is due.

Kindly refer to the following link(s): https://www.youtube.com/watch?v=9a8t5iklDiA –

With a low voice which you can hear.

Yes

You have to offer the prostration of forgetfulness before Salam. However, if you did not offer it, the salah is valid.

You don’t say Bismillah before starting attahiyat as this is an innovation.

You salah or fasting is not affected by this. However, of the smell can be detected, you must not approach the masjid.

Ignore this issue with them totally as their prayer is valid and discussing it would only make them more stubborn and divided.

Yes, generally you are right. However, if the pillar was performed during the prayer itself, the prayer is still valid as in the case of someone missing a sujood and remembering it before he concluded his prayer and hence he added another whole Rakah in exchange for the invalid Rakah.

If the grave is within the masjid walls, pray home or choose other Muslims upon tawheed to pray in a room or a prayer hall elsewhere.