I got stopped by the police for having no insurance in my new - yet I'd called my insurers to amend the policy?

I got stopped by the police because I had no insurance, yet the day I bought the new car I phoned the insurance company to amend the insurance. They are now saying I was not covered and I have been paying...

Can I be fined twice for not having insurance on my car?

Can I be fined twice for not having insurance on my car? I was not caught driving as it was just parked up.

I have been summoned to court for having no insurance - should I be worried?

I pleaded guilty to no insurance, but I sent a letter of mitigation I have now been summoned to court. Should I be worried?