You can also turn on auditing for this user. Look at the CHGUSRAUD command and other related commands. This will capture all activity for that users job as the activity happens. You won’t have to wait for the job to end. The DSPAUDJRNE command will allow you to view the activity for that user in a given time period.
Martin’s answer in the Answer History is correct. Audit journal entries won’t give you all that you asked for regardless of how many audit options you enable. A TRCJOB is probably the closest you can get.
Auditing, plus database journalling, will get you close enough for audit purposes.