In our town Eid Salaat was performed about or minutes after sunrise.

Answer

No, your Eid Salaat is not valid. The community has lost the Eid Salaat. The Salaat performed in the Makrooh time becomes a haraam Nafl. Although the Nafl is valid, it is nevertheless Makrooh Tahrimi and sinful. In the unanimous view of the Fuqaha the consequence of Makrooh Tahrimi is the Blazing Fire of Jahannam.

after the Fardh Salaat and Taraaweeh Salaat?

A. After the Fardh of Zuhr, Maghrib and Isha it is Sunnah to recite a very short dua individually and silently, not congregationally. After the Fardh of Fajr and Asr, everyone is at liberty to make his own dua for as long as he pleases.

After the 20 raka‟ts of Taraaweeh, the dua should also be silently made. The Shariah does not stipulate how long this dua should be.