RE: Trimming a new airplane
I have noticed the difference in throw between elevator halves at different rates, and I usually set them up to have identical throw at the pattern rate. If you switch to hi rate for snaps and spins it is probably less important to have them moving exactly the same since the stab will already be at such a hi aoa but for the pattern precision rate that you use for looping manuevers and to establish lines, it is important to have the elevators moving exactly the same.
Also, as far as the order as trimming things, like other people are saying it is a very long process. Sometimes, no madder what order you do things in, one change will affect everything and force readjustments. Personally, I dont think planes are ever perfectly trimmed. They get closer and closer until it is just a matter of the work required for changes vs. the payoff, but there is always more to do.