When you say the screen won't work, what exactly is not working?
Does it turn on but you are not able to use the touch features, or is it just staying black/blank when powering on?
I've seen this problem many times with the HP tx2's, the problem is typically caused by faulty RAM or a faulty motherboard.
On the bottom of the laptop, open up the bay that contains the computers RAM, and remove both modules. Using a clean cloth, spray some windex on the cloth, and clean the RAM leads (the golden/bronzish part that connects into the computer).
Now plug just one of the RAMs into the laptop, does it work now?