Not Charge
- See:
iPod touch: Hardware troubleshooting
iPhone and iPod touch: Charging the battery
- Try another cable. The cable for 5G iPod (lightning connector) seems to be more prone to failure than the older cable.
- If a 5G iPod
Iphone 5 lightning port charging problem - SOLUTION!
- Try another charging source
- Inspect the dock connector on the iPod for bent or missing contacts, foreign material, corroded contacts, broken, missing or cracked plastic.
- Make an appointment at the Genius Bar of an Apple store.
Apple Retail Store - Genius Bar
and
- iOS: Not responding or does not turn on
- Also try DFU mode after try recovery mode
How to put iPod touch / iPhone into DFU mode « Karthik's scribblings
- If not successful and you can't fully turn the iOS device fully off, let the battery fully drain. After charging for an least an hour try the above again.
- Try another cable
- Try on another computer
- If still not successful that usually indicates a hardware problem and an appointment at the Genius Bar of an Apple store is in order.
Apple Retail Store - Genius Bar
I suspect a bad battery which could be expected for your old 1G iPod.
If only the battery,
Apple will exchange your iPod for a refurbished one for t$79. They do not fix yours.
Apple - iPod Repair price
A third-party place like the following will replace your battery for less. Google for more.
iPhone Repair, Service & Parts: iPod Touch, iPad, MacBook Pro Screens
Replace the battery yourself if you are up to it. Yo can purchase a replacement battery for about $15
iPod Touch Repair – iFixit