I need some clarification on the scenario below. Please help!

On 08/02/2018, Ms. G was admitted to the hospital. On 8/04/2018, Dr. X examined the patient and found she was stable and ready to be discharged. Dr. X discussed the discharge to a nursing home with Ms. G and she agreed. Dr. X created the Discharge Summary and coded the encounter as a Discharge. There was a transportation issue with the nursing home and Ms. G ended up staying inpatient for another night.

On 8/05/2018, Dr. K was doing rounds at the hospital and examined Ms. G. She was still stable and agreed to be discharged. Dr. K created a Progress Note and coded a subsequent inpatient code.

Both physicians are Internal Med. specialists.

My questions are:
Can the discharge summary be created prior to the actual discharge date, causing the date of service to be different then the actual discharge date?
Can a subsequent inpatient code (99231-99233) be billed after the discharge code (99238) was billed? If not, what should be billed?

Thank you for your help!