Lawyer here. I'm not sure why you think AI will fix the first part. What AI does is not a significant part of the cost or labor in the vast majority of kinds of cases. If you have a specific area in mind, happy to go into it with you. The area where this kind of AI seems most likely to reduce cost is probably personal injury.

As for the last sentence, those systems already exist and roughly all sane lawyers use them. They are required to. You aren't allowed to cite overturned cases or bad law to courts, and haven't been allowed for eons. This was true even before the process was automated complety. But now completely automated systems have been around for decades, and one is so popular it caused creation of the word "shepardize" to be used for the task. So this is a double fault on the lawyers part. These systems are integrated well too. Even back in 2006 when I was in law school the system I used published an extension for Microsoft Word that would automatically verify every quote and cite, make sure they were good law and also reformat them into the proper style (there were two major citation styles back then). It has only improved since then. The last sentence is simply a solved problem. The lawyer just didn't do it because they were lazy and committed malpractice.