Mark,
Did you have to go to A&E? or see your GP? Back pain, stiffness in the neck, headaches are common symptoms of whiplash, I would at least visit your local GP to have yourself checked out. For now your personal health is of upmost importance. It's encouraging to know you feel better and better as each day passes, but personally I would still take it easy in the gym if I'd been in an accident.
If you need more advice and about making a claim advice, pros and cons, please call me on 0789 0521 395, or text me and I can call you straight back with information.
Goodluck
Avtar