It doesn't matter how you are paying the credit card account balance, or really if you ever pay it. If you purchased something for your business that is a legitimate business expense, then it's a business expense. Record that expense in your credit card register like you'd record a check in your bank account.
If you paid the business credit card with your personal funds, which isn't really a good idea, then that payment can be recorded as a transfer between the credit card account and an owner's equity account, an increase to the equity account.
I'm not really sure but if the points used to pay the bill are a result of business charges then I support they could be recorded as a sort of contra-interest expense or contra-bank fees expense.
If they're a result of personal charges, then that could be another transfer to an equity account.
