This is a sensitive question I am asking for a person who wishes to remain anonymous.
It is regards a Kohen married more than one time. The children of one of the marriages are from a marriage from Kohen and a divorced woman. Are the children then Chalalim? Are they permitted to marry and who can they marry? Also, are they Jewish if the mother is Jewish?
Answer:
If the mother is Jewish the children are certainly Jewish, but if she was divorced they will, as you note, be chalalim.
This means that they have the general halachos of a Yisrael, rather than a Kohen.
For male children, there are no restrictions on marriage. For female children, the daughter (a chalalah) can marry anyone except for a Kohen.
The status of a chalal continues to the next generation from father to son.