Impurities on clothing and furniture

Q: My dad has a pair of relatively old brown leather slippers. As I am not an expert, I do not know if any part of the slippers is made from cow or pig leather. Yesterday he used those slippers for wudhu and with wet feet, he walked in a carpeted room for Salaah. I then performed wudhu in a separate pair of slippers and walked in to the same room, with wet feet, to perform Salaah in Jamaat with him. Some wetness that remained on my feet, transferred to my clothes whilst in the sitting position. My dry hands touched the same carpet. Questions are as follows:

Q: I want to know the ruling of using automatic washing machine. Is our clothes pure or impure.

Q: When I become sexually excited, a fluid seeps out of my private part. There is a tingling sensation and itchiness in my private part when it seeps out, but clearly there is no sexual pleasure or orgasm when it seeps out because I have experienced an orgasm before. I am always in doubt since it is difficult to differentiate female ejaculate from other fluids which are discharged from a women's private part unlike men. Since it affects our daily prayers, so do I still need to perform ghusal? I follow the hanafi madhab.

Q: My job requires me to travel a lot. I sometimes stay in an apartment with a communal kitchen. The dishes are thus also used by non-muslim guests. After guests use the dishes, they are cleaned by the staff of the lodge. Now when I use these dishes, do I have to rinse it seven times to make it clean, if there are no apparent signs of impurities on them?

Q: If clean clothes are put out to dry, do they remain paak if it rains and they become soaked or do they need to be re-washed? Similarly, the container the clothes are placed in after they are dry was outside and also became soaked as did the washing line. Do these items remain paak or do they need to be re-washed?

Q: When I was making wudhu, my pants got wet in the basin. I have no knowledge of najasat in it, so I read namaaz with it. Is it pure?

Q: We eat so many things that is made by non-muslims and they don’t have to do fardh ghusal because they do not know paak/napaak, and if they are from Halaal sources then we say they are Halaal, thinking this makes me confused. Please explain as I waste a lot of water due to this doubt.

Q: After a wet dream or sexual relation with the wife when ghusal becomes farz, if I touch any utensil like a glass or plate would it become najis? Or I just washed my face then wiped it on a towel then I used this towel after I have a shower, would my ghusal be valid? Or do I have to wash these before I or someone else uses it. I get confused thinking this is wrong that until I have a shower I should not touch anything with wet hands.

Q: If a person kisses his wife and starts to discharge mazi continuously and he makes Istinja repeatedly until Jamaat salaah starts, and he joins Jamaat salaah. After Jamaat prayer, he notices some mazi around the private part that may have been discharged during Salaah, is his Salaah valid or does he have to repeat the Salaah individually?

Q: Before going to sleep, very small amount of mazi comes out. After waking up it is impossible to locate exactly which part of the garment has the impurity. What should be done in this case? Can salaah be offered without washing the garment since the mazi is not apparent?