Qadha of Witr, Sunnats and Nafl

Q: Is it necessary to make Qadha of Witr should you miss it?

Q: A person performed his esha and witr salaah on a particular day. Later, he realized that his esha salaah was not valid (after the time for esha and witr had expired). Should he just perform the qadha of esha (since it was invalid) or should he also perform the qadha of witr (even though he performed witr correctly)?

Q: Is there qadhaa for broken Sunnah Salaah?

Q: If I miss fajr and perform it when I wake up before zuhr, then do I perform the two sunnats first or only the fardh?

Q: Do we have to make Qadha of Sunnah also when we make Qadha of Fardh in each of the Salaah we have missed. What is the Shariah Ruling on this?

Q: Can we make qadha of witr Salaah also?

Q: Do I need to perform Sunnat-e-muakkadah of each Salaah for Qadha-e-umri?

Q: I heard from some Ulama or some Book that, we need to pray only Fajr Sunnah Qazaa from all the sunnah mukaidaa and no need to perform any other sunnah-e-muqaidaa, kindly confirm is this correct.

Please explain me in detail why we need to perform qazaa salaah only for the Fajer Sunah and why we do not need to perform any other sunnah mukaidaa because Fajer Sunnah is also sunnate mukaidaa.