You will find links to the msi in previous posts - I'm pretty sure that as well as being a "full" installer it also adds the 10.4.x backwards-compatibility components for Windows
Not quite sure what you are asking; there is no separate installer for IE and other browsers; just the slim, the full, and the MSI.
I had troubles too, but solved it. Adobe has just put the wrong link, they put the slim version for both slim and full.
To get the full version:
Change the word "Slim" in the URL to "Full", but I'm still not sure if it is as I see no difference.