Should Track Titles Include Attributes (Ragas, Countries, etc.) + Carnatic/Hindustani style guidance

I would say Yes for the track titles: track titles should reflect what is printed on the medium, corrected if necessary to follow the titles style guidelines.
For the recording, it depends whether the recording has been published in other releases without this country indication. By default, if no other release of the recording is known, keep the same title as the track.

I am unfortunately not knowledgeable in Indian music. MB is indeed designed based on western music, and lack features for other type of music.

I believe that we may draw an analogy between western key and Raga/Talam.
The key in which a work is written is not part of the title, but it is often specified in classical music to designate works, as the key indication serves to disambiguate. The use of key to designate work has been generalized even for works where such a disambiguation is not needed (e.g. Debussy).

So if raga/talam serve the same purpose in Indian music, I believe that you may specify them in titles in a similar way.

For the type of work indication, we face the issue that the list of type of works in MB is awfully limited.
My personal preference, as discussed in other topics recently, would be to use tags to indicate work types not in MB standard list.

Using tags enable searching for specific work type using tag filters.
From an example that I have found, it seems that work types are not systematically specified for the type of Indian music that you mentioned. So in any case, I would not include the work type in the work title.