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, or Bastet
Bast and Anubis did not have children.
Re/Ra was said to be the father of Bast.
Maahes was called the son of Bast/Sekhmet.
Yes. She is normally called Bastet.
Maahes (also spelled Mihos, Miysis, Mios, Maihes, and Mahes) was the son of Bastet/Bast and Ptah.
There is no ancient Egyptian myth about the childhood of Bast.
Bast was born a Egyptian goddess in myth.
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.