Hi,
About Infoobject deletion:
You can check in System Logs in SM21, if your BASIS do not clear the logs.
You can try in SLG1 logs too.
About RSECADMIN:
You can check the last changed and other details in RSECADMIN-->Maintenance-->Authorizations-->0BI_ALL-->Display
But the execution of Update Authorization Log will be difficult to locate. You can try this also in SM21 logs.
Regards,
Suman