Welcome to the forum breinrules.
Thank you for the review and breakdown shots. Good info. Especially about the safety cut off issue with charging.
Not many members even attempt to create reviews at all. So good on you. :)
I don't know how to mod that charger, but you can build a reliable one for little money using the board that is featured in this thread. It's available from several vendors. I think Fasttech sells them for like a buck something each.