try a hard reset while unplugged (hold the home and power buttons in together until the apple logo appears or the charging symbol or for upto 30 seconds) then try charging again
inspect the charging port if even one pin is missing or bent it can cause the device not to be recognised by a computer. If a pin is missing or ben you will need to get the charging port replaced
You can try to clear the cache from the recovery menu -power Down and hold home power and vol up together otherwise factory reset from same menu if all else fails relaid the firmware using Odin
The led indicator light and bottom lights will still work when on and you will still hear sound if you hold the phone user light you may see cracks under the glass lens