Sure your battery isn't fake? I have some cheap as balls chinese batteries, and they drain quickly unused (out of cam and all), like yours. They do work fine for ~1500 shots each though when charged and used right away. My OEMs that shipped with the camera don't drain over time. (well, they do, but extremely slowly)
https://nikoneurope-en.custhelp.com/...teries#EN-EL3e
WTB:
87+ AW11 ds valence panel, ds fender, rear visor. Burgundy interior parts as well.
7th gen Celica antenna assembly
Please PM me, thanks!