He's not going to court, exactlty. He's having a hearing with an ATP panel. People might have mistaken it for going to court because both Lleyton and the ATP are being represented by lawyers and a judge has been appointed to the panel.
Lleyton has said that if he doesn't get the result he wants from this hearing, he'll go to court. At this point, it's more about the principle than anything else, because the case is already costing more than the fine.
Lleyton might not attend the hearing, however; he might go straight to Shanghai. In either case, I doubt he'll go to LA, because, quite honestly, that'd look pretty bad. But I don't think he would've gone even without the hearing, because it's pretty out of the way.