PSP 3006 , working but couple of issues , read description

Selling a Sony PSP 3000-series (Model 3006) in good cosmetic condition. The body, screen, and buttons show minimal wear and look good for its age.( my opinion only , judge for yourself with pictures)

Issue 1 : it seems to only power on when plugged in with a wall charger ,I don’t think it is a battery issue because I tried with 2 different batteries that i had without luck ,
Issue 2 : umd drive a bit noisy when launching games but it works fine ,
On start up sometimes the console takes a little while to launch main menu, not sure why. , I find opening umd drive and closing again straight away make things faster. ,
When plugged to the wall the charging end bit doesn’t always stay on the console when moving which can disconnect from console sometimes.

Included is console unit only ! With battery which I believe is pretty new ,
No charger included