The battery's pretty close to the Amber circuit - so most probably the acid has eaten away some of it. Even if it doesn't look like it, there's a good chance for damage.
It's weird though that PAL works and NTSC doesn't. Productivity bypasses Amber, so if the circuits are somewhat functional you have no trouble with that.
Sorry to tell you, but you have to look into the acid damage more deeply (maybe only the socket?).