Howdy!

New update: revised and corrected schema, 98% sure it's right.. for now



Full image

What I still don't like, maybe I'm wrong, is the direct +5V connection to the emitter pin of the PNP transistor.. more than 80mA will flow out of it's base..

Then, removed all those cheap-burnt wires and put some more serious ones.

Then applyed the charger to a test: a nice 1F@5.5V capacitor! the perfect battery replacement



And the charge was done in 5-10 seconds, topping up to 4.25V... uhmmm



But I'll check again circuit tracing (other info are on the schematic).