To know the display model number, use the command line above. You can use ssh or vnc with a second computer to navigate in your broken screen MBA.
But I suspect a slightly different version for the mid 2011 model.
NO LUCK WITH THAT DISPLAY : the supplier couldn't send it, explaining "he didn't found the model". Alibaba.com is a big mess. But Escrow.com did the refund seamlessly.
I recommend using Escrow.com and not something else.