Yes that picture was to show you the location of the Toyota immobilizer indicator.
Page 12-15 of the owners manual explains the system.
No that is not it, this is an involved processes that may take several corespondents between us to achieve a positive result, there is no quick and easy answers to may car problems.
I will offer you the best service until this issue is resolved.
To recap,The vehicle was jumped, and now the security light flashes while trying to start the car.
Since communicating with me you have tried...
1) Inserting key into drivers door, with all other doors closed, turning key to the lock position, then to the unlock position, then re-entering the car and trying to start.
2) Turning ignition on with battery disconnected, leaving ignition on while connecting battery, then trying to start.
Both of these did not work to reset the system? Correct?
Since the car was jumped, is it possible that it was jumped backwards initially, or there was any major arcing while making connections?
Have you checked for any blown fuses? Any blown Main fuses? This would explain the security system not recognizing the door lock/unlock procedure.