If you were divorced as of 12/21/2018, then you will be entering new returns for both of you. In the My Info section (online version) or Personal Info section (desktop), indicate that you were divorced. Then the same process for your ex.
If asked about the mortgage, then yes answer yes/no for each of you. Otherwise, you would just navigate to the mortgage interest section under Deductions & Credits to enter the interest on her return. You can split the state tax refund.
The loss carryover is divided and allocated based on the separate capital gain/loss for each spouse. If this was joint, then you could divide equally. But it would be advisable to check with your divorce attorney in case your decree says something specific. If community property state must do 50/50.
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