We are currently in arrears by around £1500 and have suspended possession order on the house. Our fixed rate has just ended and we're now paying 10.4% interest

(2% more than was stated when we took out the mortgage but that's interest rates for you) . Redemption period ends in September.
We've managed to keep on top of the mortgage plus £100 per month for the arrears since november last year and could probably (just about) afford the repayments at this rate, and do our best to pay the arrears off before this November which would mean that we've been making all payments on time for 12 months.
Would this put us in a better position for getting a re-mortgage or do you think we're stuck with this really rubbish rate?