You will need to provide proof of address which will mean a current lease or rent book. You can only give the information as you believe it to be true. Your landlord is responsible for declaring his rental income, not you. I would not worry too much about these details. DSFA are only concerned with assessing your entitlement. This is based on your contributions (for UB), P45, Proof address, ID, rent details, family composition, etc. If you are paying rent and unemployed you may be entitled to a rent supplement from your local Community Welfare Officer. Contact the local Health Centre for more information.
Good luck!