I suggest caution: all these products contain abrasives that remove the special finish that helps prevent finger prints. You may only do more damage to the display surface.
I'm surprised no one has mentioned the simplest diagnostic test: looking at the battery screen icon to verify that the charger is indeed charging. The icon does 2 things. It displays the amount of power remaining and indicates that the laptop is in charge mode both for the main power source & the PRAM battery. The green-to-amber light on the charging plug can be deceptive. It will go to steady amber, indicating the battery needs charging. But if you have a loose or broken connection, the battery charger may be doing nothing at all. I found this out when trying to recharge my Powerbook after a long period of disuse. I relied solely on the amber light, and 24 hrs. later, concluded the battery was dead/no longer accepting a charge. Bought an aftermarket battery on eBay, and made the same error. Then I noticed the battery icon was not showing the charger was plugged in. A couple twists later to get a better connection, both the original & PRAM battery came back to life and my Powerbook is now working fine....
Unless you intend to upgrade your applications, you should also do a Google search to determine the compatibility of Leopard w/ older software. Keywords = Powerbook G4, Compatibility with OSX Leopard. A lot of common 'vintage' software won't work w/ Leopard.