Sorry but how does a UK bank account generate income. Ok, a term deposit maybe. Or a million quid earning 2%. (This is just an example not an actual calculation). Income is from a pension or rent, etc? Money in the bank is capital, not income.
Just go from bank to bank till one opens one for you. Get a letter from your hotel saying you're staying there. They issue you the ATM card and bank book on the spot.
The police report you just order online. The doctor's report just fill out and hand to your GP. Mine just stamped and signed it. You won't need tests if you see him regularly. The diseases they are worried about are virtually non existent in Oz.