You should be aware that CS6 is not supported under Windows 10 so there’s no assurance that anything will work, but there are some things you can try.
Put the fonts into the InDesign fonts folder
Use a Document fonts folder for specific documents
Run InDesign in Windows 7 compatibility mode.
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As InDesign always has used its own internal OpenType engine, I doubt it's a question of compatibility. (Unless you are sure that these same fonts render correctly on an older system!)
InDesign CS6 just does not support all possible OpenType functionality, esp. those that are required to render scripts such as these. Even with the very latest version -- download the trial and test -- it'll be anyone's guess.
We had the same font issue under Windows 7, but will try running InDesign with Windows 7 compatibility mode (need to figure out how to do that).
The gears are slowly turning to switch to Creative Cloud in my particular workgroup. But the fact sheets need to be done before thathappens, so will give this one last shot before laying out the two translations in Microsoft Publisher :-(