Ok, in your last photos.
Do you see two 8-pin integrated circuits?
Ok, read the text on them. It's printed on the top of them.
You shoul see something like 93CXX
Put the texts here. I think that one of those integrated circuits is the battery eeprom, but I must know which.
You can probably make your battery a pandora one, but you have to modify it's hardware, which is not easy. You have to desolder one pin of the IC and then resolder it to make your battery a normal one. But be careful.
Check this:
http://www.elotrolado.net/hilo_-TUTORIAL--Fabrica-una-bateria-dual--Pandora---normal--sin-PSP-con-Custom-Firmware_846844
If you've got a second PSp with custom firmware, yu can modify the battery with a software, not hard-modding it.
BAD NEWS: AS I'VE SEEN, YOUR BATTERY MODEL IS STILL HARDWARE UNMODIFICABLE. IF YOU WANNA MAKE IT PANDORA, YOU MUST USE THE SOFTWARE METHOD.
Sorry.