Points should be listed as an asset for the rental since they are amortized (similar to depreciated).
Whether the points are expensed (new loan new Lender) or amortized at a new rate, the points are marked as sold in the asset list.
You will say "Yes" to Special Handling
On the following screen choose
Transfer these fees for me to Other Expenses (if the loan is with a new Lender)
I'll enter the fees on my own later/ I refinanced with the same Lender (Same Lender)
You will make the second selection and add the remaining points as a new asset with the new useful life (years of new loan)
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"