any unamortized costs for the origination of the previous loan can be expensed.
Not quite true. IRS Publication 527 page 5 column 1 under "Loan or Mortgage Ends" states, " if the refinancing is with the same lender, the remaining points (OID) generally aren’t deductible in the year in which the refinancing occurs, but may be deductible over the term of the new mortgage or loan"
