I had to go through jury selection a few months back for a capital case, going through three or four rounds of appearances and interviews. Part of what struck me about the experience is how incredibly poor the paperwork was. They gave us number cards when there were 250+ people to go through in my group, they were all handwritten even though the numbers corresponded with the computer-generated numbers we were assigned when the original mailing for service was sent. Forms and questionnaires looked like they were generated in Clarisworks by first-time users in elementary school. Nothing had letterhead, nothing had any sort of official feel.
Your story about no letterhead and using fax machines is totally believable to me, and I'm amazed that it isn't abused more often.
Courts have no money for electronic upgrades, and when they have the money they have to fight a bureaucracy to get them. Seattle is still using DOS-based systems.