Good question. I think it's just done by court order--i.e., the judge orders the media not to show jurors' faces.
Most courthouses nowadays have secret exits for judges to get to their cars. I bet they could use the same exits for sequestered jurors.
I don't know of any laws preventing jurors from discussing their deliberations post-trial.
Zilch? No way.
There is still a possibility of a defense win here. If there weren't, I wouldn't be so interested.
With that said, none of the things you listed are true.
I suppose I would go for the theory that Caylee died in a terrible accident, not caused by any culpable negligence on Casey's part, following which Casey engaged in an idiotic cover-up attempt out of mortal terror of her mother, during which she was able to present a "happy face" to the world by suppressing her emotions deep into her subconscious, a symptom of her mental illness caused by the emotional and sexual abuse by her parents and brother. The "Bella Vita" tattoo was to help her remember the beautiful life of her baby, because the emotional suppression caused by her mental illness scared even her. Caylee was the only thing in Casey's life that ever broke through the mental illness and brought out normal emotions in her, so after Caylee was gone Casey's illness got even worse, explaining her horrifically ice-cold statements to police.
If they go for the "Zanny did it" theory, I think they're sunk.