Why won't the phone come on?

One preliminary test is to plug the phone into a computer and see if it's recognized; if the phone is recognized, then it's most likely not totally gone.

From what I've heard, this phone is an entry-level smartphone, meaning that they could care less about the durability of their parts. This means that a new screen should do the trick, providing previously mentioned test worked. I am not sure about the price of the parts, but for these niche smartphones, ebay or Amazon are usually the only places to purchase the parts. The other option is to take it into a repair shop and have them buy the parts and perform the service.

Best of luck!