@merlinprince not much you can do other than to replace the charging port. Since iFixit does not yet have a specific guide for that, use something like [https://www.youtube.com/watch?v=oEgklukv6Dw|this video] Replacement charging ports are available at many online places [https://www.aliexpress.us/item/3256806158819898.html?src=google&gatewayAdapt=glo2usa|like this] Example only and not an endorsement of the seller
While you work on your PSP, take lots of pictures. Once you are done with it, take those pictures and create a guide for iFixit. That will help the next person that has a device with the same issues as you do. It's easy and fun to create these guides. https://ifixit.com/Guide/new The iFixit community will appreciate this.
Repair is War on Entropy!