The screen is broke, the LCD is VERY sensitive. I have broken mine in the past too - dont worry, its easy and surprisingly cheap to fix.
Go to ebay and buy a replacement LCD. When it arrives, go to youtube and type "blackberry curve LCD replace" and the video will walk you through.
I have never done this kind of work before and it took me 5 minutes. Was very easy, plus while I was in there I had a chance to clean all of the dust out of my BB. Good Luck!