To be blunt, I think the whole thing is stupid. The election system keeps people moving through the positions, and elected appointments will not necessarily improve the speed, accuracy, or consistency of the Court. It will limit the evolution of the law, as three indefinitely-tenured individuals will be highly unlikely to change their minds and reverse any previous decisions (not that the rate of reversals is important, but it's something that the Court needs to be able to do, and having three static justices will be a near-complete bar to that, effectively.) It will limit the ability of the community's standards to evolve, as justices' personal views on matters would become an element of the equation and those Justices could not be removed except by the recall process (which is ineffective). Stagnation sucks. Also, inactivity of lifetime-appointed people sucks. Recall as the only accountability mechanism would mean that Justices would have no incentive to do things quickly, as they didn't have to worry about terms ending. They wouldn't have to worry about ensuring that their actions are in keeping with the reasonable expectations of the population (in terms of activity, mind you - not in terms of outcomes) because they'd only be accountable through the Recall procedure which, again, barely functions.
If we go to appointments, simple majority is not acceptable. Justices have massive impact on the region - simple majority is too low of a requirement for an individual who will be asked to judge things for us as long as they like.
Appointed AGs is less stupid, but I don't think the AG should serve at the pleasure of the Delegate. The AG needs to be separate in order to exercise his legal right to have the Courts review questionable government actions. If the AG is an appointee of the AG, the impartiality of the position with regard to the sitting government would be completely abolished. The AG is separate from the executive branch for precisely this reason - the AG is an executive branch office in the real world, and look how many politically motivated prosecutions we see. Why the fuck would we want more of that here?