Hi Raghuram,
It would require that SM19 is setup to log the event for all users in the audit log. This could be the case, but could also not be the case. You can also look at transaction ST03 or ST03N. This is the workload monitor and with some searching you should be able to find back who started SE38 and / or SE80. below the link to some documentation that could help find what you need in ST03. You can also ask a basis person to help out as they are probably more familiar with the transasction.
Regards