I got compensated about £1200 for whiplash when somone ran into me (from their insurance not them). I didn't have to go to court, everything was handled by the insurance company and lawyers they appointed. I did have to go to an independent specialist (again no money spent by me) to get and independent review of the injury but that was the only bother I had.
Do not worry, just let your insurance company deal with as much as possible and help them out with as much information as possible.
And yes your insurance will cost more for a few years even if it does go through as no fault like mine did, life sucks what can I say!