Discharge during haidh

Q: I have two questions pertaining discharge during haidh.

1. I thought I had released discharge and went to check but when I wiped, it felt pretty dry and all i saw on the paper was slight dampness. the discharge i had prior to this was discoloured, so i believed im still in hayd. can i assume that the dampness i saw was normal dampness and that im still in hayd?

2. In another incident today, after i was done relieving myself and i washed myself, i wiped where my discharge comes out to check and i didnt really see proper discharge - all i saw on the paper i wiped with was dampness/wetness. can i assume that what i saw is just water from istinja?

Musaafir flying over his hometown

Q: If a musaafir, during his safar from Joburg to Umzinto (supposing Umzinto has an airport), flies over his hometown (Watn-e-Asli), Overport. While flying over Overport, will it be regarded as though he entered his hometown and his safar ended? Since the distance between Overport and Umzinto is not safar distance, if the time of Asar Salaah enters, will he read Qasar Salaah?

Remaining silent behind the Imaam

Q: I have a question regarding joining the jamaat for salah late. What is the ruling regarding the situation if I join the jamaat while it was in qiyam. And soon after my joing the jamaat (after 2-3 secs) the Imam goes into ruku. I didn't get enough time to recite surah fatiha. Will I get that rakat as I couldn't recite the Fatiha or I need to repeat it by myself after tasleem of Imam?

Listening to tilaawat on one's headphones when music is being played in a gym

Q: If music is being played somewhere and a person doesn't want to listen to the music and he plays tilawat in his headphones to avoid the sound of the music, is it a correct thing if he has no authority to stop that music?

I go to the gym and they play music there. So I listen to tilawat in a loud voice in my headphones to avoid the music. Is it a correct thing ?