Dought & clear, - Conditions for Prayer, - She prayed when she was junub by mistake – does she have to repeat the prayers?.

I prayed Fajr and Zuhr and 'Asr without having done ghusl for janaabah
because I forgot. After having a bath at Maghrib time I repeated these
prayers before praying Maghrib. Then my husband told me that it is
essential to have the right intention (niyyah) for doing ghusl, so I
did ghusl and prayed 'Isha' and I did not repeat the rest of the
prayers. Are my prayers from Fajr to Maghrib valid? What do I have to
do?.
Praise be to Allaah.
Firstly:
Whoever prays when he is not in a state of tahaarah (purity) has to
purify himself and repeat the prayer, according to scholarly
consensus, even if he forgot. Al-Nawawi said inal-Majmoo'(2/78):
The Muslims are unanimously agreed that it is haraam to pray when one
is impure, and they are unanimously agreed that the prayer is not
valid whether he knew that he was impure or was unaware of it or
forgot. But if he prayed not knowing it or having forgotten it, there
is no sin on him; if he knew that he was impure and that it is haraam
to pray when one is impure, then he has committed a grave sin.
Secondly:
Ghusl following janaabah is not valid unless one has the intention of
doing ghusl, because the Prophet(peace and blessings of Allaah be upon
him) said: "Actions are but by intentions." Narrated by al-Bukhaari,
1; Muslim, 1907.
The site of the intention is the heart; it is not required to speak it out loud.
If you remembered that you were in a state of janaabah before you took
a bath at Maghrib time, and you took a bath for that reason and
repeated the prayers that you had offered when you were junub, then
that ghusl is valid because the intention was there. You did well to
repeat the prayers as this is what is required of you.
But if you did not remember that you were in a state of janaabah until
after you had had the bath, and you took a bath in order to clean
yourself or to cool yourself down, for example, then this bath did not
take away the janaabah because there was no intention to do so. In
that case you have to repeat the ghusl and the prayers. You repeated
the ghusl, so all that remains for you to do is to repeat the prayers.
So repeat Fajr, Zuhr, 'Asr and Maghrib.
And Allaah knows best.