Masah on the Khuff

Certain things I heard when attending Hajj classes

Q: I recently heard from a Moulana whose name I will not mention and he does Hajj classes that when you are flying to Mecca for Hajj then:

  1. In the Plane you can sit in your seat a read your namaaz as you are flying North and facing Qibla! Can this be done?
  2. When making wudhu in the plane you can make massah over your woollen socks! Can this be done?
  3. If you make wudhu in your room and then go to the Harem and you then break wind or go toilet your wudhu does not break due to the massive amounts of people in the Harem and it would be highly inconvenient to go and try to make wudhu again in the Harem! Is this a correct statement?

Masah on Ordinary Socks

Q: I have a question regarding masah on socks. Since we have not started to pray dhur in school, when some students perform wudhu, I see them doing masah on socks (regular socks worn when you wear school shoes), and then they head out to pray in Jama'a. Sometimes the person who is leading Jama'a has also done this type of Masah, now I am confused, is this type of masah on socks not permissible in hanafi fiqh or all four school of thoughts?  If the person did this type of masah is the salah valid? also a person who lead the Jama'a (group salah), is the salah of the followers (who pray behind) also valid?  What can be done if this is not permissible? should I inform the students?  Also, on which socks is masah permissible? Is normal socks like what students wear during school permissible? Moreover, since the floor is flat that has no prayer mat (some areas there are), is it allowed to pray with shoes on? (school shoes) even if you are praying on the prayer mat?