Default broken screen + black display

ok so my phone's screen is so cracked it fell off the second floor with no case to protect and the screen is broken like hell and the display is black (no display). However, I can see the soft keys still light and the phone still functions as I tried tapping over the screen and music played and camera captured so I guess every thing is working fine
So my question is if I buy a new screen and replaced it (from Ebay) will it also fix the black display and get my original display back ?