this may be a stupid question to ask you, but was the ipod working before you replaced the battery? if yes i would check a couple of things:
1- Double check your soldered connections, simple but those small wires can be finicky, also make sure they were not pinched and possibly disconnected in the reassembly process. i know you said you already checked but that can happen when your not expecting it to.
2- Simple again, but make sure they battery you have replaced it with was made for the correct generation ipod. its simple to have the wrong one shipped to you, they are easily mistakable. (also hopefully the battery is not faulty, if you have the patience and the old battery does still work just not holding a charge, try it again to confirm you haven't missed a step)
3- third i would reassemble (with the new battery) extremely carefully just to make sure everything is in the right place.
Hope this helps
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