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Do you have proof you changed it back?
Are you saying that when you tried to do this online you did not get a reference number?
The best I can suggest is that you send them a letter by registered mail. In the letter set out the chronology of events in terms of when you submitted each change online. Give them a reference number. Tell them that you believe they have the technological ability to determine when they used your site and you want their technical department to conduct an investigation so that you can be shown as telling the truth about changing the coverage.
You can say that they allow binding changes to be made online which is different than most companies do which don't even allow them to be made by way of leaving a message on a phone so they must not allow any client to be harmed if their site fails to register the change. Tell them that if they fail to cover you you will commence legal proceedings against them.
If they do not agree you are going to have a hard time winning because you have the burden of proof in court and it does not sound like you can actually prove that you made the second change. If the site does not provide proof it is likely the case that most clients would take a screenshot of the page as proof. In the future you should certainly do that, but for now I am concerned that you will not succeed in court.
If there is a lawsuit the burden of proof is always on the plaintiff so you would have to prove that you changed the coverage back.
You can try to put in a claim and see if you can get coverage from the other driver's insurance. As well, if they will not cover you it may be that you can sue the other driver for damages.