What is the error code you get when you try and restore? Fair warning when it comes to water damaged phones cleaning doesnt always fix the board. Depending on what error you get with itunes and how well the board was cleaned it entirely possible you have have one or multiple damaged components on the board that could result in you just needing to replace the device.
Looks like one comes with the tools you need as well as some of the parts that transfer over. If you lack the tools required for the repair then go for the tools. The parts that transfer over should be no big deal to transfer. Keep your screws organized and go slow. Good luck!
In my experience 99% of the time wifi/cellular issues are board level. You can try swapping out the antennas and the cables and looking at the frame for damage. IMO the phone is trash at this point so I would try a reflow with a heat gun, can't make it any less useful ya know? Simple question for the touch ID is was the home button replaced. If you replace the home button the touch ID goes bye bye(unless you go to Apple or get somebody with microsoldering to transfer the touch Id components). If you got a replacement home button then thats solved. If not I would be curious as to what happened when the screen was repaired. Its possible part of the home button flex that runs across the back of the LCD wss damaged in just the right way.
Did you disconnect the battery? If not do a hard reset on the phone(hold down power and home button for about 10 seconds). You had to have unplugged the home button/touch id(through the interconnect cable) to replace the camera. Without a reboot phones dont recognize the touch id after unplugging and replugging it in.