Casseopia
As far as I am aware Housing Benefit is paid at the full rate with UC and there are no Premiums payable with UC.
Being awarded PIP should exempt you from the Benefit Cap if applicable.
You may be eligible for a Council Tax deduction, the rate varies from one council to the next but I think all have some level of reduction.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems