Be sure your touch panel is working.
call your phone, answer call with sliding mode or press answer call (should be at the middle of the bottom).
if its working, replace your lcd but if doesn't replace lcd, digitizer and touchpanel.
specialist can do it in 20-30mnts depend on difficulties.
I recommended you try 1 by 1 method to replacing your lcd to digitizer and touch panel to skipping your cost. have a good day. ;)