You need to take them to an authentic scholar who can explain for the the Islamic rules according to Ahlul Bayt (AS) and tell them that following Ahlul Bayt (AS) is much more important than following the culture or society.
No, she does not need to make up what she has already performed when she was a Sunni. All worships performed according to her previous sect does not need to be repeated.
Islam guides us to chose good names for our children and it keeps naming our children with good names as one of our responsibilities towards our children. The Hadeeth states: It is from the rights of the child on his or her father is to name him or her after a good name (من حق الولد على الوالد أن يحسن تسميته)،
Bad name can be changed to a good one.
'We don't claim that names definitely determine the personality and character despite that fact that good names can encourage good personality, but it is not binding nor compulsory.
After your firm decision to be an obedient servant of Allah in every matter in your life, you need to know what to do and what to avoid. You need to read books on Islamic practical laws which are available online like www.Sistani.org
If you have any question, you can ask trusted scholars who can guide you.
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