Touch ID causing reboot/recovery mode

Hello wizards!

I have an iPhone 5s trying to fix. Owner has broken display a while ago but later came back to me with already new screen and Home Button. So I'm not sure if it's still original touch ID but not the screen for sure.

Problem with this phone is that it reboots randomly or going straight to recovery mode.

I tried to recover it with iTunes but no success, still doing reboots. And touch ID doesn't work, cant set my fingerprints (Touch ID failed) but physically the button works, I mean I can press it and return Home. So, I disconnect the button to see if it still doing reboots, but so far all is good.

On iFixit store page I read that replacing Home Button will not solve my problem with touch ID as it's not original for m phone.

My question is, buying a new Home Button will it is solve rebooting/recovery issue or there's no guaranty?

Thanks