Hi brummie, well first of all I fully understand the predicament you find yourself in...i,e not a million miles from my own.
My gf and Ihave just finished her annulment and shes waiting for papers from the NSO................its a pain in the butt mate , but from what you post I can see and recognise that it means so much to you and the bottom line is yes its worth it but you do need patience!!!
Q1, I have never heard of someone not having to attend the court proceding, however that does not mean it doesnt happen, my gf had to attend on 3 occasions.
Q2 If that was the case then yes id say that quote is realistic
Q3 Regarding visas for her children , as long as you are married and they are classed as dependants then you just have to meet the required criteria....
I hope that has helped and im sure there are others here who will be able to offer more advice.