You can apply for an SSN card at the SSA office preferably within the 90 days or 2 weeks after your arrival in the US. You need to bring a valid or unexpired Arrival/Departure Record I-94 Form together with your passport. You need to go to this website: https://i94.cbp.dhs.gov/ You just need to print the I-94 Form and the SSN FORM at https://www.ssa.gov/forms/ss-5.pdf . And please don't forget to also bring your passport.
Before we get married we went to the county office and apply for the marriage license at the vital records office and paid the Marriage License fee of $72. Remember that you both need to appear at the County Clerk of the Superior Court’s office, and present valid I.D., and submit a marriage license application form.