RE: Charge through discharge
I'd try it. I know of at least one guy that got his LiPo back up and running doing that. You can check the balanced charge lead with a voltmeter and measure the cell voltages to see what you have. If you haven't discharged it enough to puff up the pack, it might be OK. Definitely watch it for puffing (swelling), and monitor the temp if you try it. If it gets hot and/or starts to puff up, disconnect it and dispose of it.