All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
There is no harm on you if your father and his wife come to stay with you in the house, and you do not have to investigate whether or not he married that woman Islamically.
Nonetheless, it should be noted that even though the marriage of a Muslim man with a woman of the People of the Book is in principle permissible if it fulfills its conditions, like the presence and consent of the guardian, the presence of two witnesses, and the like, but it is better for a Muslim man to marry a pious Muslim woman who would help him in the obedience of his Lord, and raise his children upon the correct creed and good morals.
For more benefit on the disadvantages of marrying women of the People of the Book and the problems that arise thereof, please refer to Fataawa 84724 and 89418.
Allah knows best.