Dx >10 never include Dx any up to 9. But that not a problem, cause it probably already installed with some games. Just download web-installer of DirectX and check updates manually (ofc download it only from Microsoft site, well something can be downloaded from Valve Steam - I guess it ok too just check updates).
Manually check updates for latest stable Win0 Build and for redists. VC Redists, Net Framework DirectX - they all can have updates not included in installers that you download from of site a d of course games installers use oldest versions.
Especially must be updated some old redists, installed by game. Sometimes it very differ from version even closet by version number. Check Installed/Uninstall applications menu in Windows to see what redists you have.
Enable/disable fullscreen optimisation and some other compatibility things are updated for Windows 8/10 long ago actually. And it work very different on differ OS. Some option available and for Win7 too.
And GOG - they previously always enable admin run, but stop doing this - now always set DPI scaling compatibility, that thing same as optimisation work differently on differ OS. And with some games.
When you install games - especially from GOG (Steam too) - check compatibility things on exe/bat/.etc files. Better doing that with Microsoft ACT tool (for Win up to 8) or with Windows ADK (for Win10). ADK - is a toolset.
If you want easy light app - check Verok (aka Verokster, author of GLwrapper's and mods, for Heroes M&M too) AppCompatibilityChecker (start that exe as admin). It show all compatibility, but cant remove some installed by GOG installers
http://drive.google.com/file/d/16ljD92B1jPIT_bi1bh3pppBVAudkIj4Y/view Exe Properties in Windows never show all options. And in Win8/10 it initially have only adminrun in Properties. Still some checkboxes are missing.
Some compatibility set by Windows (7/8 , any else?) itself on first game run. Try to remove that too, and if it turn on again - forget it.
All compatibility can be viewed and removed (and enabled) in Win REGEDIT. But some installed by GOG use ACT tool sdb packages - that compatibility use some more Registry parts, as well as Windows system folder.