Bismillah
Karbala, touching the gates [b]for what reason[/b]???
To make things clearer. Yes you can do Qada of course, like you can do Qada of each Fard after the original Fard. Salatu Janaza is also allowed at any time. However, nawafel, can wait, u dont need to do nawafel after Faj or Asr as those are the times when Salat us Makrouh.
Let me check the Fatwa you are asking for.