I have sent papers in requesting a birth certificate and social security number but i am not sure what number to call to check on the progress or what I should do.

You need to contact Vital records for birth certificates- https://statevitalrecords.org/California And US Social Security Administration for social security number or card -https://www.ssa.gov/ssnumber/ both have online options to apply. Noticed- you will need to copy and paste the links above into search box on internet.

The court house doesnt keep record of birth certificates or social security.