I got it done. It was not clear from the instructions what was supposed to happen with the small circuit board with the USB connector that is also holding the battery case in place. Turns out you need to remove yet another screw and then carefully work the battery case out from under that circuit board, which remains in place.

I spent quite a while looking for the “white clamp” at the end of step 1, I never found it and don’t think it existed on my remote.

I managed to break one of the red wires connected to the charging contact on the bank case, and then managed to break the other one while trying to fix the first one. Fortunately, I hauled out my trusty soldering iron — probably hadn’t used it in 20 years — and soldered both wires back into place.

The battery is charging now and seems to be working! Thanks for the guide.

Is that wide opening pick shown in the photo available? Or should I be able to get my iPod 3G open with just the narrow opening tool? So far I’ve been unsuccessful.