The noise is likely it pinging you for your input.
Start by opening the phone and disconnecting the battery. Then reconnect it. Turn the device back on. Anything happen? Does the backlight (back of the LCD) light up? If not, check the connector on the logic board where the LCD plugs in. Are any pins damaged or bent? If so, fix them.
What happens when you connect it to iTunes? Does iTunes recognize the phone? If not, try a DFU restore. Plug the phone into your computer and open iTunes. Turn the phone off, hold power for 3 seconds, while holding power hold home as well for 10 seconds, release power but keep your finger on the home button. iTunes should pop up with a message about a phone in recovery mode. Choose restore and restore the software.