Sajda-e-Sahw

Sitting for tashahhud in the first rakaat of Zuhr Salaah and making sajdah sahw

Q:

1. I was reading 4 rakaats fardh of Zuhr Salaah. After the first rakaat, I sat down and started reading tashahhud. I realised my error, but I completed the tashahhud, stood up and after the second rakaat did the tashahhud again and completed the rest of my salaah as normal. I did a sajdah sahw at the end, but I didn't recite the tasbeeh in the sajdahs. Is my salaah valid?

2. Previously, I was also reading 4 rakaat fardh of another salaah. In the second rakaat, after reading Surah Fatiha, I untied my hands to go in ruku. I quickly realised my mistake, tied my hands again and read a surah and continued the rest of the salaah as normal. Was I meant to read sajdah sahw in this situation?

Masbooq forgetfully making salaam with the Imaam

Q: I missed one rakaat of jamaat salaah. I would like to know if sajdah-e-sahw should be made or not in the following cases after the Imaam made salaam to end the salaah:

1. I made one salaam on the right and then stood up to complete the missed rakaat

2. I made both salaams on the right and left and immediately stood up to complete the missed rakaat

3. I made both salaams and sat in the same position, and after one minute I stood up to complete the missed rakaat.