Hello Jennifer_Smith,
1. If you are legally separated since April and did not live together for more than last six months of the year and your dependent children live with you, you may be able to claim as Head of Household filing status.
2. Since you're the custodial parent, and there is no legal agreement to allow him to claim the children, you can claim both children. You have the right to claim both children, even though he contributes to child support. It is up to you if you want to let him claim a child or not.
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