What is the ruling on someone who eats or drinks while uncertain about the arrival of dawn, then later finds out that dawn had not yet broken?

If a person does this, their fast remains valid, as it is confirmed that they ate during the night. Similarly, if someone eats while uncertain and remains unsure whether they ate before or after dawn, their fast is still valid. This is based on the maxim of Sharia Law, which states: "Certainty is not removed by doubt." Certainty, here, is the presence of night, and the doubt concerns the arrival of dawn. Therefore, one relies on certainty and disregards doubt.

Is it permissible to eat from an Udhiyah slaughtered on behalf of a deceased person?

Where should a woman who is led by her husband in prayer stand?

All perfect praise be to Allah The Lord of The Worlds                                                                                                                                                                          It is from Sunnah (Prophetic tradition) that she stands behind him. And Allah Knows Best.

What is the ruling on attending relatives` parties held in public halls, or hotels since if we don`t, we will be subjected to their admonition?

If such parties involve mixing between men and women, or forbidden acts such as listening to songs with sinful lyrics, then attending them is forbidden from the view point of Sharia since people`s admonition is nothing compared to Allah`s, The Almighty`s, wrath.