Do I need to take my birth certificate to take the written test? Or is my social security card & ID okay?

For a "Real ID" driver's license- YOU need birth certificate and proof of address. Proof of address could be copy of a bill mailed to you, car registration, etc. Check online before you go.

Yes, you need a birth certificate, I came without mine and had to go back home to get it

I'm not sure but when I went I took my ID and my social.