Political review means that you have passed the interview and physical examination. The recruiting unit will send someone to your current unit to look at your file and go to the local police station to see if you have a criminal record. If necessary, I will talk to your leaders and colleagues to get to know your situation. There seems to be no audit on social security.
However, different places have different requirements. I suggest you consult the local people's social security bureau or go to the exam registration website for details.