Taking slippers of the musjid home

Q: I once lost a pair of slippers in the musjid and the khadim bhai gave me a pair from in front of the bathroom to wear. His intention was that I should wear them home and then return with them to put them back. However, I ignorantly started to wear them as my own. A couple of years passed and by the taufeeq of Allah Azza Wa Jal, I realized that they were not mine to keep and amends had to be made.

The slippers are still with me but they are torn and very battered. The underside is completely smoothed out so they are a hazard to wear now. I did take a pair of my own slippers and gave them to the musjid's bathrooms as compensation. But I did not think that it was sufficient. I bought a new pair of slippers with the intention of giving them to the musjid as well but they are still in my possession. Should I give some money to the musjid's donation box to make it even?

Repeating the sajdah tilaawah aayah in a musjid or classroom

Q:

1) If I am reading a sajdah tilaawah aayah repeatedly on the same spot, then only one sajdah is compulsory. However, if I am in a musjid and I am reading the same aayah while moving around, then how many sajdahs do I have to make? Does the distance I cover while moving around make a difference?

2) If I am reading the same sajdah aayah in madrasah in the same classroom but at different spots, then how many sajdahs do I have to make?

Marrying a Catholic girl

Q: I have question a regarding marriage. I have been in a relationship with a girl for 10 years and she is Catholic and a very good human being. I love her dearly and have asked her to convert and she is not willing to. I feel very guilty for being with her for so long and having to leave her for religion issues. What is your suggestion regarding this matter? Can I still marry her? If so how should I approach it ?

Illegitimate child concealing his right identity

Q: A child was born out of wedlock but he still uses his actual father's name everywhere to avoid embarrassment. He does that because only a few people know he is an illegitimate child. If he uses his mother's name this will lead to the suspicion of people and even those people who don't know that he is illegitimate will come to know about it. It wasn't the child's fault to go through this embarrassment. Is this fine and if not how should one go about to avoid people's taunts?