The links provide a number of files to install. Which are the ones I need?
If you mean the "links", you need all of them. Every link comes with a set of different files to download. You only need the x86 versions. Pay attention that, they are all named vcredist_x86.exe, but they ARE different!
So, when you download the files, they'll appear as copies, with names like vcredist_x86(1).exe, vcredist_x86(2).exe. This is normal, and you will have to download them all.
Note that, the VC++ 2005 runtimes are needed by FSX itself and Simconnect. Not by our software. But of course, since our software *calls* Simconnect, if Simconnect doesn't work (because of a problem with VC++ 2005 libraries), our software won't work too.
However, we have a separate dependency, from the MS VC++ 2013 runtimes instead. Of course, they are automatically installed by our installer but, if reinstalling the VC++ 2005 runtimes doesn't work, you might try with the 2013 runtimes too:
https://www.microsoft.com/en-us/download/details.aspx?id=40784