Dim screen after digitizer replacement, digitizer not working well

Hello everyone, I'm new here, sorry for my English, I will try my best to describe my problem.

Recently i bought an iPhone 4s with box and all papers for 30 bucks (not stolen, blacklisted etc.)

The phone has a problem:

• -touch works, but not in the edges (I can see that some repair guy done a shity job putting UV glue.)
• -When I connect it to iTunes it recognize the phone, I've done the firmware update without any problem, restored it, backlight was ok, until the Welcome screen.
• - Now is dimmed to zero backlight, no backlight at all, with sun i can see that the screen is working, i can read everything. But it's very difficult.

• - I can't pass the hello,bonjour screen and put my wifi password because touch isn't working in the edges. And my password is a lot of "A" ;)

• Here are some photos of screen when restoring, dimmed hello screen, earpiece, ffc, proximity sensor.

• For other things:
• power button works
• volume controls works
• home button works
• vibration works

For now i can't tear down my phone, i don't have tools yet.

1. 1 I'm pretty sure that i have to buy a new lcd+digitizer+glass assembly(touch not working in the edges), i will buy it from some guy at aliexpress, the one who have a lot of positive feedback.

I'm not sure if i have to buy a new proximity sensor or something else.

Please help me Internet :)

All of you, have a nice day!