I did my best to replicate what you're up against and have some information that may be helpful. Personally I think it's encouraging but my research revealed at least one additional obstacle you may need to overcome.
Briefly stated I was able to download the El Capitan .dmg file on an iMac 7,1 running OS X 10.6.8 Snow Leopard, which happens to be the closest version to the OSX 10.5.8 you have on yours. Mounting the .dmg revealed the installer package, which opened and proceeded to install El Cap without any difficulty whatsoever.
Here's the additional obstacle. There had been an interim software update that addressed the com.apple.installer.pagecontroller error you are encountering. Refer to Apple Software Installer Update 1.0 - Apple Support. As I recall (and this is going back many years) that installer update was specifically released to address that specific problem.
Now... I can certainly install OSX 10.5.8 on that Mac and do the same thing, but that will take some time that may not be justified because I have reason to believe what you're doing is 100% correct and should work... the remaining uncertainties being the fact I was running OS X 10.6.8 Snow Leopard, and you have a Windows PC which I don't.
This is the Get Info for the downloaded .dmg file:

With the exception of the created / modified dates all other information including "Where from" and its size should 100% match what you have.
You may need to find a way to install Snow Leopard on that Mac and apply the above referenced software update before you can proceed to upgrade to El Cap and have any hope of installing a browser that will be at least marginally functional with any recent website. Unfortunately getting Snow Leopard can be problematic since Apple no longer sells those discs, but you can still find them on a popular auction site at a reasonable price. They are white in color, preferably still in its original box, which bears an image of a snow leopard. Caveat Emptor as always. If you want to buy one I suggest you post here first and confirm what you're getting may be expected to work.
Anyway, that's all I have for you at the moment. Let me know how you would like to proceed — or if you would like to proceed — because as you can probably surmise this is likely to become a monumental and time-consuming effort with no practical return on investment.