Washing a soiled carpet

Q: I am having trouble learning how to purify a carpet. I honestly feel like I have transferred filth in so many places, it must be likely that my salah are not counting. What is the difference between a thick and thin carpet?

I put water three times on impure cat vomit while drying (not completely) with towels in between. But the carpet is thin enough that some water gets to the bottom if I saturate it with enough water. Did I do this incorrectly and now filth is transferred everywhere since later on peoples feet touched that wet area?

Paying for a service

Q: I work in a hospital in the UK and applied for a parking permit - I have to pay every month to park my car at the hospital. When my wage came, I realised the charges for parking were not being taken from my wages so I contacted them twice. They assured me that they had my account details and money would be taken.

A few months later I realised again no charges for parking were taken so I took no further action and left it because I thought I've contacted them twice and done what I could. But now I have a guilty feeling and think maybe I should have contacted them again until they took the money. Do I have to pay them back or pay the amount to charity? and am I at fault?

Salatul Faatih

Q: Some Tijaniyya, not the entire group says:

Salat al-Fatih: "This prayer is 'equivalent to the recitation of all prayers of glorification to God (tasbih) that have ever been said in the universe, all Sufi prayers or remembrance of God (dhikr), every invocation (du’a) long or short . (Jawahir, p. 57.)

What is the fazaa'il of that, is it correct?