Name & religion change for minor

There is no law in India which governs religion. India is a 'secular' country having no religion of 'State". You are free to practice any religion.

A muslim who starts faith in Hindu way of life becomes a Hindu.

for your own satisfaction you may change your name and there is a legal procedure for that - making a declaration in a local news paper, getting it changed in your school records and other records.

you may contact a local priest for formal conversion, if you so like. The VHP keeps organizing camps for conversion. You may contact them.