I am interested to know more about Abou Loulou Pirouz Navahandi, the murderer of the 2nd caliph. What is the opinion of our scholars about him : Was he muslim and shia ? And were the ahlul bayt (as) pleased with him ? As some said he is the one who took revenge for Fatimah Zahra (as).

He has nothing to do with Ahlul Bait. He was the slave of Mugheera Bin Shuba, and he killed the second Khalifa because he did not listen to his complain.
It seems that he was Muslim, but this can not be proved.