Surah Faatiha in the 3rd and 4th rakaat

Q: I want to ask whether I have understood a masalah correctly: In a book it was stated that according to some Hanafi ulama reading Fatiha in the 3th and 4th rakat is Sunnah, and according to some Hanafi ulama it is Wajib.

Then the book stated if Fatiha is read twice in the 3th and 4th rakat, there no sajdah sahw by ittifaaq.

Do I understand correctly that sajdah sahw is not due by ittifaaq because whether Fatiha is Sunnah or Wajib in the 3th and 4th rakat, it is not Wajib or Fard to go to ruku after recitation of Fatiha in the 3h and 4th rakat and it is permissible to read more, but since it is permissible and not Wajib or Fard, there is no delay for the ruku, hence by ittifaaq there is no sajdah sahw due if someone reads Fatiha twice in the 3rd and 4th rakaat, whether reading Fatiha in the 3th and 4th rakaat is Sunnah or Wajib.

But in the 1st and 2nd since it is Wajib to read a surah after Fatiha one would delay this Wajib if one was about to read Fatiha twice hence sajdah sahw is due because of delay. But if one reads in the 1st and 2nd rakat first Fatiha then a surah then Fatiha again then there is no sajdah sahw because going to the ruku after the surah is not Wajib or Fard and it is permissible to read another surah after surah. Hence no delay thus no sajdah sahw.

Did I understand this masalah correctly?

Inner lining of the khuff

Q: If the khuff has a cotton inner lining sewn in itself, is its lining is considered to be the khuff ? i.e. if on the leather in that case are 4 holes i.e tears, but the cotton innerlining at these tears is intact than these tears on the leather are of no consideration and they don't count as holes. Is this correct? I remember reading this in Halabi as Saghir it was attributes to Imam Muhammad.

Gifting a picture frame with animate objects to a non-Muslim

Q: I received a wooden wall hanging/frame as a gift from a non muslim. Since it had pictures of horses (animals), i never hanged it any where in my home, rather i just put it in a closed cupboard. can you kindly explain to me whether it is acceptable in Islamic sense for me to give this wooden frame as a gift to a non muslim friend, rather than myself just holding on to it.

Stopping in-between words in Salaah

Q: During Quran recitation or during the Zikrs and duaas while in salaah if one stops at the half of a word and after 2 seconds one continue does the Salaah break? For example when one wants to read "Alhamdulillahi rabbil alamin..." one says "Al..." after 2 seconds "...Hamdulillahi..." or one starts from begining again. Another example when reciting "Ihdinas siraat al mustakim..." one says "siraat al..." then one does restart from "Ihdinas..." Or when reading "...musteqim.." one stops after after "muste..."  then one re-reads it. Does such things break salaah? Also if one makes such an error that would break the salaah, if one re-reads the relevant place correctly again, does the salaah become valid again?