The only thing I could suggest is a factory reset, but I don't know how to do that with a non-responsive screen. If that wouldn't do it, then neither would rooting.
Sometimes when a screen is cracked it will continue to work, but other times it won't. And, I strongly suspect that you have a hardware failure.
It wouldn't hurt to try resetting or rooting, but unfortunately it might be like upgrading the OS on a PC to try to fix a broken keyboard... it would just delay the acceptance that the device is broken.