ANSWER:

Salah or Iqamah at the masjid has got nothing to do with your prayer at home. 

You can pray at anytime when the time for fajr enters and it’s sunnah to pray the sunnah of fajr quickly for even women who are praying home.

Sheikh for girls at home is praying sunnah of fajr fast only before iqamah and if i pray fajr sunnah fast after masjid started praying farz fajr prayer do i still get the reward of sunnah for praying fajr sunnah fast (after iqamah) or if masjid started praying fajr should girls at home pray it normally