Allow me to step in for a moment and share with you some additional information about your bill and payment transaction.
Yes, you can follow the steps provided above to fix and record your transactions correctly. With regards to your reconciliation, you can fix this by doing a mini or special reconciliation. Just ensure you remember the ending balance from the most recent reconciliation.
Here's how to do a special reconciliation:
Open your QuickBooks Desktop file, then go to the Banking menu and select Reconcile.
Select the bank account with the transactions you need to reconcile.
In the Date of Statement field, enter the date for an "off-cycle reconciliation." This date can be any date between your last reconciliation and the next scheduled one. When you enter an "off-cycle" date, QuickBooks will remind you that you're doing a mini reconciliation. This puts previously unreconciled transactions back without affecting the "cycle" that they follow.
In the Ending Balance field, enter the balance of your last successful reconciliation. Then select Continue.
In the Reconcile window, check off the transactions you are fixing and re-reconciling.
Make sure the Difference field shows $0.00.
When everything looks good, select Reconcile Now.
For additional references when fixing reconciliations in QuickBooks Desktop, you can check out these articles: