My iPhone screen wont turn on but I can still hear alerts and calls.

I replaced my battery about 3 months ago(bought the battery from theunlockr.com) and no problems what so ever. Then I dropped and cracked my screen so I went and had it replaced, I noticed two days after getting it replaced my screen on the left side was a jar and wouldn't snap closed when i tried closing it. I took it back in to the same place and the guy said it was because I had a deflated battery that I needed to change my battery. So I emailed the unlockr they sent me a new battery a few days ago. I replaced it and then I had a problem with this battery. With the new battery whenever I would completely snap close the screen the screen would go black but you could still hear alerts and calls so I had to leave the screen a jar a little to see whats on my phone screen. I took it back in to the place I got the screen from and the person tried fixing it by checking the connectors and replacing the screen with a new one and even tried a new battery and nothing but now the screen wont even turn on at all. I can still hear calls and alerts but thats it no picture. Is there anything I could do to fix it?