Hi freakvk,
The reason that the model is not recognised is that you are using the chassis model number not the product model number. Have a look on the screen surround – you may find that it is a VGC-LM1M or similar.
As stated above, in order to arrange a free repair under the conditions mentioned in the link you will need to call the out of warranty premium rate telephone number. I don’t know the number for Spain but if you follow this link, click Vaio and Computing and then enter your serial number you should see contact options.
http://www.sony.co.uk/support/en/contacts
Rich