Stuck in recovery mode after battery replacement but it updates

Hello,

the iphone was ok and all buttons worked. After battery replacement, the power button doesn't work for turn the iPhone 5 on. So I connected to MAC and the iPhone turned on. But just with "connect to iTunes". https://support.apple.com/library/conten...

When I connect iPhone to iTunes, I restore my iPhone. Everything is ok, on iPhone there is black apple logo and status bar moves like the iPhone updades. like this http://www.iosdevicerecovery.info/blog/w...

But when there is 100%, the iphone restarts and I can see "Connect to iTunes"

The power button is maybe ok, because when I unplugged the iPhone and I hold the power button, it turns off.

I tried MacFoneLab and and RecBoot for exit the recovery mode, but no result.