No, the Greek Orthodox church is a part of the Eastern Orthodox Churches.

Greek Orthodox Church of the Annunciation was created in 1769.

Eastern Orthodox Church (or the Christian Orthodox Church).

Yes, mainly in Cairo and Alexandria. The head office is known as the (Greek Orthodox) Patriarchate of Alexandria and All Egypt, and is based in Alexandria.

The Romanian Orthodox Church mainly follows the liturgical practice of the Greek Orthodox Church, rather than the Russian Orthodox Church, such as the use of the new calendar.