All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
We do not see any harm in naming the new-born baby-girl with the mentioned name Inayah, and we are not aware of any Islamic impediment to naming with this name.
We apologize for not answering the second question, as this is not part of our specialty.
Allah knows best.