My Dad is a Sunni and my mum is shia, I am a shia myself, however my dad on multiple occasions has said he wants me to follow his way, this has made things very awkward at home, I pray 5 times a day but without my dads knowledge, are my prayers accepted?

Quran has said many places that we should obey and respect our parents even if they are Kafir or Mushrik or even Munafiq.
But in case of Wajibat we are not supposed to follow them. So don’t worry you have select right path