LCWRA and PIP council Tax bill

This might be difficult to answer but I am concerned there might be a mistake in the Bill I received from Lewes council asking for £700. in council tax. My daughter who is disabled had to go else where so her needs could be met this was on the 1st June. I had to leave Income support and put on UC I already get enhanced PIP for daily living allowance.

When I phoned the council they rattled off all income coming to me( big brother moment). The basic for UC and I have transitional protection. I was also assessed and placed on LCWRA so the question is - Being on UC and LCWRA element would I be exempt from council tax?

On the phone again to Lewes council and it was looked into again I explained that I get LCWRA and the person was not sure what that was, they then took it to a senior benefit advisor. The explanation I received that there were duplicate payments of Carers allowance on the account, I have not had carers allowance since 1st June.

As I was speaking to them I was online using their website for Tax entitlement and that said Zero to pay, I was ready for a debate instead I was told that my balance was zero and a letter will be sent out.

Big thank you David, you have saved me £700.