Bast and Bastet are both the same goddess.
Yes; both refer to the same goddess.
Bastet the goddess also known as Bast, did not die.
Bast/Bastet
Bast and Anubis did not have children.
Bast, or Bastet
Yes. She is normally called Bastet.
Maahes was called the son of Bast/Sekhmet.
Re/Ra was said to be the father of Bast.
Maahes (also spelled Mihos, Miysis, Mios, Maihes, and Mahes) was the son of Bastet/Bast and Ptah.
Bast was born a Egyptian goddess in myth.
There is no ancient Egyptian myth about the childhood of Bast.
The names of the Eyptian cat goddesses are Bast (Bastet) and Sekhemet. They are both Ra's lieutenants Bast is the more commonly known of the two. Sekhemet is also the goddess of fire.