Please help me identify what is wrong with my iPhone 5c?

About 4 months ago my screen shattered, but my phone had been working fine afterwards until now. It randomly stopped working; it won't turn on, it won't charge normally; with some chargers it won't work at all and with other it will start vibrating on and off, it also won't connect to the computer. I was planning on backing up my photos right after this happened. Can anybody identify what is wrong with my phone? How to fix it? And also how to save my photos I had just got back from a big vacation and didn't back them up... is there any way at all to save them? Please? Thank you in advance.