After Judge van Ness quashes the extradition warrant, LA County Deputy District Attorney Jerry Weiss tells McCoy and Ross that he "can help [them] file an appeal in Sacramento". Although Sacramento is the state capital of California, it is not the seat of the state Supreme Court. A appeal of Judge van Ness's ruling in California state court would go first to the Second District Court of Appeal located in Los Angeles, and then to the state Supreme Court based in San Francisco.
Eddie Newman's warrant hearing could have taken weeks or even months with continuances. For it to have taken days like shown would have been impossible, especially if there was forensic evidence required.