Apple iPod Mini 2nd gen A1051 4GB *faulty*

All buttons are working fine, audio ok, but it has some problems: 

1. The battery probably is faulty (sometimes indicates full but suddenly drops).

2. I can't connect it to iTunes anymore. 

Charger/cable not included! Only the iPod.

I sell it for parts or repair. Shipping with tracking number. Will be carefully packed using bubble wrap.