Yes, you may claim the points on the rental going forward for the portion that was personal residence.
To do that, enter the remaining points as a separate asset in the rental section.
Select "Intangibles, Other property" on the "Describe This Asset" screen, and the date of purchase as the date you converted the unit to rental.
Select "Loan Fees" from the drop-down on the "Select a code" screen
Enter the remaining years of the loan on the "Recovery Period" screen
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