These would likely be 2 separate problems.
The problem of its running only a minute (or 59 seconds) is due to a bad damper motor or switch. See this helpful photo: http://207.234.249.73/mwd/damper.jpg.
The display would need to be repaired. We do it here in the US, but I'm not sure if anyone in Europe does it yet.
Since you're in the UK, you might look for parts and service via http://www.sharp.co.uk
William Miller † MicrowaveDisplay.com, March 2007