1) You application should be fine, when you get your FP doesn't mean everything is OK but if anything is wrong you can fix it during your Interview, specially if you are missing any evidence they will ask you to bring it.
But you got the Fp so don't worry and relax. I had the same thinking when I was in your place.
2) CSC is the initiation of your application, LA office is not a center. LA office should be a DO. So if you think LA is your DO then you will have your interview there and all the process after your name check is cleared.
Unless is somethig else going on there, San Bernardino should take care of everything after CSC.
** What is CSV in your text?