Unfortunately whitewave there's more than one injustice
and OK nonnie here goes:
1. Homeless - cut red tape to allow homeless legally sign and complete
any HMRC forms, using Job Centres' (JC) or Hostels' addresses. Then they should receive a form of state benefit and gradually become part of the fabric of the UK once they'd found a job and find a sense of worth and hope.
2. Find out why BBC licenses are unpaid. If it's a case of hand-to-mouth,
find help from a knowledgeable volunteer,(e.g. retired tax expert or accountant), to prioritise expenditure. Also, to contact the relevant MP and ask for his/her help, then, ask if they would be prepared to get behind the abolition of the BBC's fee
. 
3. I have no idea why debtors are imprisoned
It's futile and costly. I'd want to find out what the most frequent debts are, what caused them plus what actions would clear them. Then I'd contact Citizens Advice and other bodies including a commercial radio station to consider if one of their radio journalists would include the item in a discussion. If successful I'd tweet it with the station's knowledge and, see what gives. If the presenter said yes, I'd inform the local paper.
Now I'm out of ideas and need a
.