How to fix my central locking on my Vauxhall Astra 1.6 twinport ?

The central locking on my Vauxhall Astra 1.6 twinport won't work. I press the button on the key and it doesn't do anything and the fob on the key is fine as had it checked.
The car starts ok.
When the key is removed from the ignition, the radio stays on (when it should go off) and when you open the drivers door there is a beeping sound like when you leave your lights on.
It's driving me mad. Please help!

Please give me a call to fix this problem, 07473 027727