Another E2 resurrection
Additional possible lessons:
I suspect that the problem is that the plastic switch on top gets stuck, draining the battery.
You may be able to use a tiny eye-glass repair kit screwdriver if you don't have a Torx 5.
[I reassembled it with that, but I haven't tested opening with it.]
I unscrewed the back.
(Notice how the plastic switch works or doesn't.)
Lift, pushing out toward plugs.
(This step may be unnecessary if the problem is just the switch.)
I used tweezers to pull the battery connection up. Then reconnect.
I recharged directly from a travel plug.
(Direct cable connection should work; I couldn't charge from cradle.)
I reassembled, making sure the switch moves freely.
Please report back here....