If you prayed towards the first direction after proper searching for Qibla like compass or reliable Qibla application or asking trusted Muslims in the area, or any other way to find the direction of Qibla, then you discovered that it was wrong, then you don’t need to repeat your prayers if the difference is less than 90 degrees.
It depends on the situation of your family. If your family members are flexible and open minded and appreciate evidence and believe in freedom of faith, then you can inform them that the authentic evidence guided to to follow Ahlul Bayt (AS). You can also give them some important points which guided you to Ahlul Bayt (As) which can help them not only to appreciate your research for the Truth for your life here and hereafter, but also open their minds to think properly about the Reality of Real Islam of the Prophet and his Holy Progeny.
'If your family members are rigid and closed minded and do not respect evidence nor freedom of faith and want to remain blindly following their fore fathers, then it might be harmful to inform them because it might create enmity and hatred against you.
'Keeping your faith secret is the option of thousands of believers who live in a negative surroundings which can harm them if they disclose. This is called Taqiyya which is mentioned in Quran in many verses. Allah Did Praise in Quran (Sura Ghaafir; verse 28) a believer from Firaon family who was hiding his faith.
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