US Immigration from Indonesia

Hi everyone. I arrived in San Diego, CA under a K-1 visa on March 5, and we just got married two days ago. I also added my husband's last name to mine on the marriage license.

I understand that for GC/filing AOS I will need to fill the form with my married name.

But within the waiting period between now and getting my GC, am I already allowed to put my married name on other documents/paperwork, such as Driver's License, Medical Card, insurance, bills, etc. even though my existing ID's (passport, SSN, unexpired I-94) are still under my maiden name? Will I encounter a problem when they ask for proof of identity that matches my married name? Is marriage certificate a sufficient for a proof?

I appreciate all the answers.

Hi all, on March 31st we got a notification via USCIS online case status that our interview on April 7th just got cancelled and we have to wait for notification in mail. We see it coming along with this COVID-19 situation. I saw that USCIS announced they'll reopen offices on May 1st. We haven't gotten anything in the mail today. But my online status per today is changed to : ready to schedule for interview again.

Anyone has the same experience?