Conditions for the validity of Salaah

Q: On a trip out of town that necessitated qasar salaah, my sister checked the qibla direction using 2/3 apps. 2 gave a certain direction and the 3rd gave a different direction. We thus read our salaah according to the qibla direction from the two that were the same. However on the day we were leaving, I was on the balcony watching the sunrise and realised the sun was rising on the exact opposite direction of our qibla direction. In my understanding the qibla direction is north east and the sun rises in the east which meant our qibla was incorrect. Is this right? This doubt is lingering on my mind. Do I have to repeat my salaah? 

Q: A fowl came into the home and soiled the carpet with droppings. Should I wash the soiled area only, or do I have to wash the entire carpet? If salaah was performed on the clean portion of the carpet before the entire carpet was washed, will the salaah be valid?

Q: Can we wear a leather belt in namaaz or not?

Q: I had to pray 4 rakaahs sunnat after the jamaat prayer of Jumuah, but I mistakenly made the intention of 2 rakaahs sunnah. After starting the prayer, I remembered that I had to pray 4 rakaahs, so I offered 4 rakaahs instead. Will my prayer be valid?

Q:

1. If beer, wine, alcohol touches my clothes, does it make them impure?

2. Is the prayer accepted while wearing such clothing?

Q: Is my Fajar, Zuhar, Asar, Maghrib and Isha valid if I pray them while azan is in progress?

Q:

1. I was praying behind the imaam. The imaam was praying asar salaah and I made intention of zohar salaah and I know that it was asar after the prayer. Is my prayer valid or do I have to redo my asar salah?

2. If I am praying alone or with the imam and it is asar time and I make intention of zohar forgetfully and after one rakaah I realize that it is asar, do I have to redo my prayer?

3. What if it was just at the begninng i.e I am doing recitation before fatiha and I realize that it is asar, do I have to redo my niyyah and start over?

Q: I got wrong time by mistake and prayed Fajr after sunrise and Zuhr at Asr time Asr at Maghrib and Maghrib at Isha time. So do I have to pray qaza or should I count the wrong time salah as qaza?

Q: Zaid has a towel ihraam which is made in such a way that there are very small holes in the ihraam cloth. When wearing the ihraam, little skin is visible from the holes. Zaid prayed salaah, did his umrah and Hajj with the above mentioned ihraam on. According to Shariah is his salaah, umrah and Hajj valid? If it isn't valid, what should be done to compensate?

Q: I happened to go to a musalla a few weeks ago. There is a courtyard separating the wudhu khana and the Salaah area. There was a lot of rain and it flooded the courtyard. People walked through to get onto the carpeted area. As I walked through, I had seen the droppings of fouls in the water which others also walked through onto the carpet. Others may have not seen it.

Is it necessary for me to inform the responsible people to have the carpet washed although they may have not seen it?

If yes, do the others need to repeat their salaats performed? If it is not necessary to inform them, what is the condition of my Salaah as I am aware of it?